df7db721d16149ced7b9e3af3f72ef5b difequdyn_a2025m4v33n2p689.pdf 15bc70be7188c58622808be17d994e8327b92f34 difequdyn_a2025m4v33n2p689.pdf 9052eb269a029af804fe045abcc2a53004aba583e3906098018b5baa9f33f2eb difequdyn_a2025m4v33n2p689.pdf Title: Phase Portraits of a Class of Continuous Piecewise Linear Differential Systems Subject: Differential Equations and Dynamical Systems, https://doi.org/10.1007/s12591-023-00666-7 Keywords: Continuous piecewise linear differential system; Phase portrait; Limit cycle; Poincaré disc Author: Jie Li Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Thu Nov 30 12:16:09 2023 CET ModDate: Mon Mar 24 13:21:02 2025 CET Custom Metadata: yes Metadata Stream: yes Tagged: no UserProperties: no Suspects: no Form: AcroForm JavaScript: no Pages: 58 Encrypted: no Page size: 439.37 x 666.142 pts Page rot: 0 File size: 7143596 bytes Optimized: yes PDF version: 1.4 name type encoding emb sub uni object ID ------------------------------------ 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JYXWEG+STIXMath-Italic16 Type 1C Custom yes yes yes 2942 0 KXHCSE+STIXGeneral-Italic20 Type 1C Custom yes yes no 2944 0 KXHCSE+STIXMath-Regular18 Type 1C Custom yes yes yes 3004 0 LBWIGC+STIXMathCalligraphy-Regular4 Type 1C Custom yes yes yes 2985 0 GRJEOM+STIXGeneral-Regular12 Type 1C Custom yes yes no 2984 0 JYXWEG+STIXMath-Italic17 Type 1C Custom yes yes yes 2996 0 KXHCSE+STIXMath-Regular19 Type 1C Custom yes yes yes 2991 0 GRJEOM+STIXGeneral-Regular13 Type 1C Custom yes yes no 2981 0 KXHCSE+STIXMath-Regular20 Type 1C Custom yes yes yes 2995 0 GRJEOM+STIXGeneral-Regular14 Type 1C Custom yes yes no 2983 0 JYXWEG+STIXMath-Italic18 Type 1C Custom yes yes yes 2998 0 KXHCSE+STIXGeneral-Italic21 Type 1C Custom yes yes no 2988 0 KXHCSE+STIXMath-Regular21 Type 1C Custom yes yes yes 3006 0 KXHCSE+STIXGeneral-Italic22 Type 1C Custom yes yes no 2986 0 KXHCSE+STIXMath-Regular22 Type 1C Custom yes yes yes 2992 0 GRJEOM+STIXGeneral-Regular15 Type 1C Custom yes yes no 3000 0 JYXWEG+STIXMath-Italic19 Type 1C Custom yes yes yes 3013 0 KXHCSE+STIXGeneral-Italic23 Type 1C Custom yes yes no 3009 0 KXHCSE+STIXGeneral-Italic24 Type 1C Custom yes yes no 3026 0 LBWIGC+STIXMathCalligraphy-Regular5 Type 1C Custom yes yes yes 3027 0 JYXWEG+STIXMath-Italic20 Type 1C Custom yes yes yes 3020 0 KXHCSE+STIXGeneral-Italic25 Type 1C Custom yes yes no 3032 0 KXHCSE+STIXMath-Regular23 Type 1C Custom yes yes yes 3035 0 GRJEOM+STIXGeneral-Regular16 Type 1C Custom yes yes no 3036 0 LBWIGC+STIXMathCalligraphy-Regular6 Type 1C Custom yes yes yes 3024 0 KXHCSE+STIXMath-Regular24 Type 1C Custom yes yes yes 3028 0 JYXWEG+STIXMath-Italic21 Type 1C Custom yes yes yes 3021 0 KXHCSE+STIXMath-Regular25 Type 1C Custom yes yes yes 3011 0 KXHCSE+STIXGeneral-Italic26 Type 1C Custom yes yes no 3012 0 JYXWEG+STIXMath-Italic22 Type 1C Custom yes yes yes 3022 0 JYXWEG+STIXMath-Italic23 Type 1C Custom yes yes yes 3014 0 KXHCSE+STIXGeneral-Italic27 Type 1C Custom yes yes no 3017 0 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Type 1C Custom yes yes no 3081 0 JYXWEG+STIXMath-Italic29 Type 1C Custom yes yes yes 3076 0 JYXWEG+STIXMath-Italic30 Type 1C Custom yes yes yes 3084 0 KXHCSE+STIXGeneral-Italic36 Type 1C Custom yes yes no 3089 0 KXHCSE+STIXGeneral-Italic37 Type 1C Custom yes yes no 3085 0 KXHCSE+STIXMath-Regular29 Type 1C Custom yes yes yes 3090 0 JYXWEG+STIXMath-Italic31 Type 1C Custom yes yes no 3086 0 JYXWEG+STIXMath-Italic32 Type 1C Custom yes yes yes 3136 0 KXHCSE+STIXGeneral-Italic38 Type 1C Custom yes yes no 3132 0 KXHCSE+STIXMath-Regular30 Type 1C Custom yes yes yes 3154 0 JYXWEG+STIXMath-Italic33 Type 1C Custom yes yes yes 3156 0 GRJEOM+STIXGeneral-Regular17 Type 1C Custom yes yes no 3160 0 KXHCSE+STIXMath-Regular31 Type 1C Custom yes yes yes 3151 0 KXHCSE+STIXMath-Regular32 Type 1C Custom yes yes yes 3153 0 JYXWEG+STIXMath-Italic34 Type 1C Custom yes yes yes 3149 0 KXHCSE+STIXGeneral-Italic39 Type 1C Custom yes yes no 3135 0 JYXWEG+STIXMath-Italic35 Type 1C Custom yes yes yes 3145 0 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1C Custom yes yes no 3169 0 ZIALPA+STIXMathSans-Regular2 Type 1C Custom yes yes yes 3184 0 KXHCSE+STIXMath-Regular38 Type 1C Custom yes yes yes 3178 0 KXHCSE+STIXMath-Regular39 Type 1C Custom yes yes yes 3172 0 KXHCSE+STIXMath-Regular40 Type 1C Custom yes yes yes 3185 0 KXHCSE+STIXMath-Regular41 Type 1C Custom yes yes yes 3187 0 KXHCSE+STIXMath-Regular42 Type 1C Custom yes yes yes 3176 0 KXHCSE+STIXMath-Regular43 Type 1C Custom yes yes yes 3182 0 JYXWEG+STIXMath-Italic40 Type 1C Custom yes yes no 3188 0 JYXWEG+STIXMath-Italic41 Type 1C Custom yes yes no 3191 0 KXHCSE+STIXGeneral-Italic45 Type 1C Custom yes yes no 3194 0 KXHCSE+STIXMath-Regular44 Type 1C Custom yes yes yes 3163 0 GRJEOM+STIXGeneral-Regular21 Type 1C Custom yes yes no 3200 0 KXHCSE+STIXMath-Regular45 Type 1C Custom yes yes yes 3196 0 GRJEOM+STIXGeneral-Regular22 Type 1C Custom yes yes no 3209 0 JYXWEG+STIXMath-Italic42 Type 1C Custom yes yes yes 3199 0 KXHCSE+STIXMath-Regular46 Type 1C Custom yes yes yes 3242 0 XGUKNE+CMSY10 Type 1C Custom yes yes no 3220 0 PRMVFU+STIXMathBlackboard-Regular4 Type 1C Custom yes yes no 3244 0 GRJEOM+STIXGeneral-Regular23 Type 1C Custom yes yes no 3243 0 KXHCSE+STIXGeneral-Italic46 Type 1C Custom yes yes no 3249 0 KXHCSE+STIXGeneral-Italic47 Type 1C Custom yes yes no 3239 0 KXHCSE+STIXMath-Regular47 Type 1C Custom yes yes yes 3225 0 GRJEOM+STIXGeneral-Regular24 Type 1C Custom yes yes no 3246 0 KXHCSE+STIXGeneral-Italic48 Type 1C Custom yes yes no 3237 0 PRMVFU+STIXMathBlackboard-Regular5 Type 1C Custom yes yes yes 3221 0 KXHCSE+STIXGeneral-Italic49 Type 1C Custom yes yes no 3228 0 GRJEOM+STIXGeneral-Regular25 Type 1C Custom yes yes no 3251 0 JYXWEG+STIXMath-Italic43 Type 1C Custom yes yes no 3252 0 KXHCSE+STIXGeneral-Italic50 Type 1C Custom yes yes no 3238 0 KXHCSE+STIXMath-Regular48 Type 1C Custom yes yes yes 3253 0 PRMVFU+STIXMathBlackboard-Regular6 Type 1C Custom yes yes yes 3254 0 GRJEOM+STIXGeneral-Regular26 Type 1C Custom yes yes no 3217 0 JYXWEG+STIXMath-Italic44 Type 1C Custom yes yes no 3222 0 KXHCSE+STIXGeneral-Italic51 Type 1C Custom yes yes no 3223 0 JYXWEG+STIXMath-Italic45 Type 1C Custom yes yes no 3226 0 KXHCSE+STIXGeneral-Italic52 Type 1C Custom yes yes no 3231 0 KXHCSE+STIXMath-Regular49 Type 1C Custom yes yes yes 3240 0 KXHCSE+STIXGeneral-Italic53 Type 1C Custom yes yes no 3260 0 KXHCSE+STIXGeneral-Italic54 Type 1C Custom yes yes no 3261 0 KXHCSE+STIXGeneral-Italic55 Type 1C Custom yes yes no 3265 0 KXHCSE+STIXMath-Regular50 Type 1C Custom yes yes yes 3262 0 JYXWEG+STIXMath-Italic46 Type 1C Custom yes yes no 3259 0 KXHCSE+STIXGeneral-Italic56 Type 1C Custom yes yes no 3270 0 KXHCSE+STIXGeneral-Italic57 Type 1C Custom yes yes no 3264 0 KXHCSE+STIXMath-Regular51 Type 1C Custom yes yes yes 3274 0 KXHCSE+STIXGeneral-Italic58 Type 1C Custom yes yes no 3275 0 KXHCSE+STIXGeneral-Italic59 Type 1C Custom yes yes no 3271 0 GRJEOM+STIXGeneral-Regular27 Type 1C Custom yes yes no 3255 0 KXHCSE+STIXGeneral-Italic60 Type 1C Custom yes yes no 3256 0 GRJEOM+STIXGeneral-Regular28 Type 1C Custom yes yes no 3257 0 GRJEOM+STIXGeneral-Regular29 Type 1C Custom yes yes no 3266 0 JYXWEG+STIXMath-Italic47 Type 1C Custom yes yes yes 3267 0 KXHCSE+STIXGeneral-Italic61 Type 1C Custom yes yes no 3310 0 KXHCSE+STIXMath-Regular52 Type 1C Custom yes yes yes 3304 0 KXHCSE+STIXGeneral-Italic62 Type 1C Custom yes yes no 3311 0 KXHCSE+STIXGeneral-Italic63 Type 1C Custom yes yes no 3297 0 JYXWEG+STIXMath-Italic48 Type 1C Custom yes yes no 3312 0 KXHCSE+STIXGeneral-Italic64 Type 1C Custom yes yes no 3283 0 KXHCSE+STIXMath-Regular53 Type 1C Custom yes yes yes 3276 0 KXHCSE+STIXGeneral-Italic65 Type 1C Custom yes yes no 3278 0 GRJEOM+STIXGeneral-Regular30 Type 1C Custom yes yes no 3280 0 JYXWEG+STIXMath-Italic49 Type 1C Custom yes yes no 3299 0 KXHCSE+STIXMath-Regular54 Type 1C Custom yes yes yes 3281 0 GRJEOM+STIXGeneral-Regular31 Type 1C Custom yes yes no 3284 0 PRMVFU+STIXMathBlackboard-Regular7 Type 1C Custom yes yes no 3286 0 KXHCSE+STIXGeneral-Italic66 Type 1C Custom yes yes no 3289 0 IUIQQI+STIXMathExtensions-Regular4 Type 1C Custom yes yes no 3296 0 GRJEOM+STIXGeneral-Regular32 Type 1C Custom yes yes no 3298 0 JYXWEG+STIXMath-Italic50 Type 1C Custom yes yes yes 3322 0 KXHCSE+STIXGeneral-Italic67 Type 1C Custom yes yes no 3319 0 GRJEOM+STIXGeneral-Regular33 Type 1C Custom yes yes no 3325 0 KXHCSE+STIXGeneral-Italic68 Type 1C Custom yes yes no 3337 0 GRJEOM+STIXGeneral-Regular34 Type 1C Custom yes yes no 3314 0 KXHCSE+STIXGeneral-Italic69 Type 1C Custom yes yes no 3332 0 KXHCSE+STIXMath-Regular55 Type 1C Custom yes yes yes 3327 0 GRJEOM+STIXGeneral-Regular35 Type 1C Custom yes yes no 3341 0 XGUKNE+CMSY102 Type 1C Custom yes yes no 3320 0 KXHCSE+STIXMath-Regular56 Type 1C Custom yes yes yes 3316 0 KXHCSE+STIXMath-Regular57 Type 1C Custom yes yes yes 3343 0 KXHCSE+STIXGeneral-Italic70 Type 1C Custom yes yes no 3317 0 OIGNRW+STIXMathScript-Regular Type 1C Custom yes yes yes 3333 0 GRJEOM+STIXGeneral-Regular36 Type 1C Custom yes yes no 3326 0 KXHCSE+STIXGeneral-Italic71 Type 1C Custom yes yes no 3328 0 KXHCSE+STIXGeneral-Italic72 Type 1C Custom yes yes no 3329 0 KXHCSE+STIXGeneral-Italic73 Type 1C Custom yes yes no 3330 0 KXHCSE+STIXGeneral-Italic74 Type 1C Custom yes yes no 3351 0 GRJEOM+STIXGeneral-Regular37 Type 1C Custom yes yes no 3352 0 GRJEOM+STIXGeneral-Regular38 Type 1C Custom yes yes no 3355 0 KXHCSE+STIXMath-Regular58 Type 1C Custom yes yes yes 3353 0 KXHCSE+STIXMath-Regular59 Type 1C Custom yes yes yes 3361 0 KXHCSE+STIXMath-Regular60 Type 1C Custom yes yes yes 3371 0 KXHCSE+STIXGeneral-Italic75 Type 1C Custom yes yes no 3372 0 JYXWEG+STIXMath-Italic51 Type 1C Custom yes yes no 3378 0 KXHCSE+STIXMath-Regular61 Type 1C Custom yes yes yes 3374 0 JBNZZG+STIXMathTyperwriter-Regular Type 1C Custom yes yes yes 3381 0 KXHCSE+STIXMath-Regular62 Type 1C Custom yes yes yes 3382 0 GRJEOM+STIXGeneral-Regular39 Type 1C Custom yes yes no 3375 0 JYXWEG+STIXMath-Italic52 Type 1C Custom yes yes yes 3421 0 GRJEOM+STIXGeneral-Regular40 Type 1C Custom yes yes no 3422 0 JYXWEG+STIXMath-Italic53 Type 1C Custom yes yes no 3440 0 KXHCSE+STIXMath-Regular63 Type 1C Custom yes yes yes 3458 0 KXHCSE+STIXGeneral-Italic76 Type 1C Custom yes yes no 3448 0 JYXWEG+STIXMath-Italic54 Type 1C Custom yes yes no 3477 0 KXHCSE+STIXGeneral-Italic77 Type 1C Custom yes yes no 3427 0 JYXWEG+STIXMath-Italic55 Type 1C Custom yes yes no 3426 0 JYXWEG+STIXMath-Italic56 Type 1C Custom yes yes yes 3472 0 KXHCSE+STIXMath-Regular64 Type 1C Custom yes yes yes 3436 0 GRJEOM+STIXGeneral-Regular41 Type 1C Custom yes yes no 3453 0 JYXWEG+STIXMath-Italic57 Type 1C Custom yes yes yes 3460 0 JYXWEG+STIXMath-Italic58 Type 1C Custom yes yes yes 3462 0 JYXWEG+STIXMath-Italic59 Type 1C Custom yes yes yes 3454 0 KXHCSE+STIXMath-Regular65 Type 1C Custom yes yes yes 3463 0 CLYDSL+MyriadPro-SemiboldSemiCnIt Type 1C WinAnsi yes yes yes 3438 0 KXHCSE+STIXMath-Regular66 Type 1C Custom yes yes yes 3478 0 KXHCSE+STIXMath-Regular67 Type 1C Custom yes yes yes 3424 0 KXHCSE+STIXMath-Regular68 Type 1C Custom yes yes yes 3429 0 IUIQQI+STIXMathExtensions-Regular5 Type 1C Custom yes yes yes 3430 0 GRJEOM+STIXGeneral-Regular42 Type 1C Custom yes yes no 3431 0 KXHCSE+STIXMath-Regular69 Type 1C Custom yes yes yes 3433 0 JYXWEG+STIXMath-Italic60 Type 1C Custom yes yes yes 3443 0 KXHCSE+STIXMath-Regular70 Type 1C Custom yes yes yes 3445 0 JYXWEG+STIXMath-Italic61 Type 1C Custom yes yes yes 3482 0 KXHCSE+STIXMath-Regular71 Type 1C Custom yes yes yes 3501 0 JYXWEG+STIXMath-Italic62 Type 1C Custom yes yes no 3520 0 KXHCSE+STIXGeneral-Italic78 Type 1C Custom yes yes no 3512 0 KXHCSE+STIXMath-Regular72 Type 1C Custom yes yes yes 3521 0 JYXWEG+STIXMath-Italic63 Type 1C Custom yes yes no 3509 0 KXHCSE+STIXGeneral-Italic79 Type 1C Custom yes yes no 3510 0 GRJEOM+STIXGeneral-Regular43 Type 1C Custom yes yes no 3518 0 GRJEOM+STIXGeneral-Regular44 Type 1C Custom yes yes no 3511 0 KXHCSE+STIXMath-Regular73 Type 1C Custom yes yes yes 3513 0 IUIQQI+STIXMathExtensions-Regular6 Type 1C Custom yes yes yes 3514 0 KXHCSE+STIXMath-Regular74 Type 1C Custom yes yes yes 3515 0 JYXWEG+STIXMath-Italic64 Type 1C Custom yes yes no 3517 0 GRJEOM+STIXGeneral-Regular45 Type 1C Custom yes yes no 3519 0 GRJEOM+STIXGeneral-Regular46 Type 1C Custom yes yes no 3535 0 KXHCSE+STIXGeneral-Italic80 Type 1C Custom yes yes no 3537 0 KXHCSE+STIXMath-Regular75 Type 1C Custom yes yes yes 3526 0 JYXWEG+STIXGeneral-Regular47 Type 1C Custom yes yes no 3531 0 KXHCSE+STIXGeneral-Italic81 Type 1C Custom yes yes no 3558 0 JYXWEG+STIXMath-Italic65 Type 1C Custom yes yes yes 3559 0 JYXWEG+STIXMath-Italic66 Type 1C Custom yes yes yes 3575 0 XGUKNE+CMSY103 Type 1C Custom yes yes no 3560 0 KXHCSE+STIXGeneral-Italic82 Type 1C Custom yes yes no 3564 0 KXHCSE+STIXMath-Regular76 Type 1C Custom yes yes yes 3573 0 GRJEOM+STIXGeneral-Regular48 Type 1C Custom yes yes no 3577 0 KXHCSE+STIXMath-Regular77 Type 1C Custom yes yes yes 3565 0 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1C Custom yes yes yes 3611 0 GRJEOM+STIXGeneral-Regular55 Type 1C Custom yes yes no 3617 0 KXHCSE+STIXMath-Regular85 Type 1C Custom yes yes yes 3612 0 JYXWEG+STIXMath-Italic68 Type 1C Custom yes yes yes 3613 0 JYXWEG+STIXMath-Italic69 Type 1C Custom yes yes yes 3618 0 JYXWEG+STIXMath-Italic70 Type 1C Custom yes yes yes 3668 0 KXHCSE+STIXGeneral-Italic84 Type 1C Custom yes yes no 3655 0 JYXWEG+STIXMath-Italic71 Type 1C Custom yes yes yes 3669 0 JYXWEG+STIXMath-Italic72 Type 1C Custom yes yes yes 3667 0 KXHCSE+STIXGeneral-Italic85 Type 1C Custom yes yes no 3670 0 GRJEOM+STIXGeneral-Regular56 Type 1C Custom yes yes no 3671 0 KXHCSE+STIXGeneral-Italic86 Type 1C Custom yes yes no 3662 0 GRJEOM+STIXGeneral-Regular57 Type 1C Custom yes yes no 3656 0 KXHCSE+STIXGeneral-Italic87 Type 1C Custom yes yes no 3657 0 IUIQQI+STIXMathExtensions-Regular8 Type 1C Custom yes yes yes 3658 0 JYXWEG+STIXMath-Italic73 Type 1C Custom yes yes yes 3661 0 KXHCSE+STIXMath-Regular86 Type 1C Custom yes yes yes 3663 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Type 1C Custom yes yes no 3790 0 KXHCSE+STIXMath-Regular103 Type 1C Custom yes yes yes 3791 0 JYXWEG+STIXMath-Italic81 Type 1C Custom yes yes no 3847 0 KXHCSE+STIXMath-Regular104 Type 1C Custom yes yes yes 3841 0 JYXWEG+STIXMath-Italic82 Type 1C Custom yes yes yes 3836 0 JYXWEG+STIXMath-Italic83 Type 1C Custom yes yes yes 3837 0 JYXWEG+STIXMath-Italic84 Type 1C Custom yes yes no 3832 0 KXHCSE+STIXMath-Regular105 Type 1C Custom yes yes yes 3833 0 JYXWEG+STIXMath-Italic85 Type 1C Custom yes yes yes 3840 0 KXHCSE+STIXMath-Regular106 Type 1C Custom yes yes yes 3834 0 KXHCSE+STIXMath-Regular107 Type 1C Custom yes yes yes 3835 0 GRJEOM+STIXGeneral-Regular68 Type 1C Custom yes yes no 3842 0 KXHCSE+STIXMath-Regular108 Type 1C Custom yes yes yes 3843 0 JYXWEG+STIXMath-Italic86 Type 1C Custom yes yes yes 3844 0 KXHCSE+STIXGeneral-Italic101 Type 1C Custom yes yes no 3875 0 GRJEOM+STIXGeneral-Regular69 Type 1C Custom yes yes no 3866 0 KXHCSE+STIXMath-Regular109 Type 1C Custom yes yes yes 3874 0 GRJEOM+STIXGeneral-Regular70 Type 1C Custom yes yes no 3853 0 KXHCSE+STIXMath-Regular110 Type 1C Custom yes yes yes 3876 0 GRJEOM+STIXGeneral-Regular71 Type 1C Custom yes yes no 3881 0 JBNZZG+STIXMathTyperwriter-Regular2 Type 1C Custom yes yes yes 3888 0 KXHCSE+STIXMath-Regular111 Type 1C Custom yes yes yes 3854 0 GRJEOM+STIXGeneral-Regular72 Type 1C Custom yes yes no 3883 0 KXHCSE+STIXGeneral-Italic102 Type 1C Custom yes yes no 3896 0 KXHCSE+STIXMath-Regular112 Type 1C Custom yes yes yes 3902 0 IUIQQI+STIXMathExtensions-Regular11 Type 1C Custom yes yes yes 3897 0 GRJEOM+STIXGeneral-Regular73 Type 1C Custom yes yes no 3903 0 JYXWEG+STIXMath-Italic87 Type 1C Custom yes yes no 3906 0 KXHCSE+STIXMath-Regular113 Type 1C Custom yes yes yes 3898 0 JYXWEG+STIXMath-Italic88 Type 1C Custom yes yes no 3900 0 JYXWEG+STIXMath-Italic89 Type 1C Custom yes yes yes 3901 0 JYXWEG+STIXMath-Italic90 Type 1C Custom yes yes yes 3904 0 KXHCSE+STIXGeneral-Italic103 Type 1C Custom yes yes no 3949 0 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Type 1C Custom yes yes no 4052 0 JYXWEG+STIXMath-Italic95 Type 1C Custom yes yes yes 4060 0 KXHCSE+STIXGeneral-Italic113 Type 1C Custom yes yes no 4058 0 KXHCSE+STIXMath-Regular128 Type 1C Custom yes yes yes 4057 0 GRJEOM+STIXGeneral-Regular78 Type 1C Custom yes yes no 4061 0 KXHCSE+STIXMath-Regular129 Type 1C Custom yes yes yes 4059 0 JYXWEG+STIXMath-Italic96 Type 1C Custom yes yes yes 4076 0 CCRUHA+MyriadPro-BoldSemiCnIt Type 1C WinAnsi yes yes yes 4130 0 JYXWEG+STIXMath-Italic97 Type 1C Custom yes yes yes 4128 0 KXHCSE+STIXMath-Regular130 Type 1C Custom yes yes yes 4129 0 GRJEOM+STIXGeneral-Regular79 Type 1C Custom yes yes no 4139 0 JYXWEG+STIXMath-Italic98 Type 1C Custom yes yes yes 4133 0 KXHCSE+STIXMath-Regular131 Type 1C Custom yes yes yes 4137 0 KXHCSE+STIXMath-Regular132 Type 1C Custom yes yes yes 4149 0 KXHCSE+STIXMath-Regular133 Type 1C Custom yes yes yes 4150 0 KXHCSE+STIXMath-Regular134 Type 1C Custom yes yes yes 4151 0 KXHCSE+STIXMath-Regular135 Type 1C Custom yes yes yes 4148 0 PLQSAU+STIXGeneral-Italic114 Type 1C Custom yes yes no 4174 0 JYXWEG+STIXGeneral-Regular80 Type 1C Custom yes yes no 4178 0 JYXWEG+STIXGeneral-Regular81 Type 1C Custom yes yes no 4179 0 JYXWEG+STIXGeneral-Regular82 Type 1C Custom yes yes no 4190 0 JYXWEG+STIXGeneral-Regular83 Type 1C Custom yes yes no 4187 0 JYXWEG+STIXGeneral-Regular84 Type 1C Custom yes yes no 4248 0 JYXWEG+STIXGeneral-Regular85 Type 1C Custom yes yes no 4351 0 JYXWEG+STIXGeneral-Regular86 Type 1C Custom yes yes no 4356 0 JYXWEG+STIXGeneral-Regular87 Type 1C Custom yes yes no 4359 0 PLQSAU+STIXGeneral-Italic115 Type 1C Custom yes yes no 4360 0 KXHCSE+STIXMath-Regular136 Type 1C Custom yes yes yes 4365 0 JYXWEG+STIXGeneral-Regular88 Type 1C Custom yes yes no 4368 0 JYXWEG+STIXGeneral-Regular89 Type 1C Custom yes yes no 4369 0 BQUSNN+STIX-Bold Type 1C WinAnsi yes yes yes 4372 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2026-04-17 04:05:34 CEST RepresentationInformation: difequdyn_a2025m4v33n2p689.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2026-04-16 09:32:42 CEST Size: 7143596 Format: PDF Version: 1.4 Status: Well-Formed and valid SignatureMatches: PDF-hul InfoMessage: Too many fonts to report; some fonts omitted.: Total fonts = 3582 ID: PDF-HUL-136 MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 4672 FreeObjects: 1 IncrementalUpdates: 1 DocumentCatalog: ViewerPreferences: HideToolbar: false HideMenubar: false HideWindowUI: false FitWindow: false CenterWindow: false DisplayDocTitle: false NonFullScreenPageMode: UseNone Direction: L2R ViewArea: CropBox ViewClip: CropBox PrintArea: CropBox PageClip: CropBox PageLayout: SinglePage PageMode: UseOutlines Language: en-US Outlines: Item: Title: Phase Portraits of a Class of Continuous Piecewise Linear Differential Systems Children: Item: Title: Abstract Item: Title: Introduction and Statement of the Main Result Item: Title: Preliminaries Children: Item: Title: The Normal Forms of the Differential Systems (1) Item: Title: Poincaré Compactification Item: Title: Topological Equivalence of Two Polynomial Vector Fields Item: Title: Limit Cycles Item: Title: Proof of Theorem 1 Children: Item: Title: Limit Cycles Item: Title: Phase Portraits in the Poincaré Disc of Systems (I) Children: Item: Title: The Finite and Infinite Equilibrium Points Item: Title: The Global Phase Portraits in the Poincaré Disc Item: Title: Phase Portraits in the Poincaré Disc of Systems (II) Children: Item: Title: The Finite and Infinite Equilibrium Points Item: Title: The Global Phase Portraits in the Poincaré Disc Item: Title: Phase Portraits in the Poincaré Disc of Systems (III) Children: Item: Title: The Finite and Infinite Equilibrium Points Item: Title: The Global Phase Portraits in the Poincaré Disc Item: Title: Phase Portraits in the Poincaré Disc of Systems (IV) Children: Item: Title: The Finite and Infinite Equilibrium Points Item: Title: The Global Phase Portraits in the Poincaré Disc Item: Title: Phase Portraits in the Poincaré Disc of Systems (V) Children: Item: Title: The Finite and Infinite Equilibrium Points Item: Title: The Global Phase Portraits in the Poincaré Disc Item: Title: Phase Portraits in the Poincaré Disc of Systems (VI) Children: Item: Title: The Finite and Infinite Equilibrium Points Item: Title: The Global Phase Portraits in the Poincaré Disc Item: Title: The Distinct Topologically Equivalent Phase Portraits Item: Title: References Info: Title: Phase Portraits of a Class of Continuous Piecewise Linear Differential Systems Author: Jie Li Subject: Differential Equations and Dynamical Systems, https://doi.org/10.1007/s12591-023-00666-7 Keywords: Continuous piecewise linear differential system; Phase portrait; Limit cycle; Poincaré disc Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Thu Nov 30 12:46:09 CET 2023 ModDate: Mon Mar 24 13:51:02 CET 2025 ID: 0xb913768733a01545b8ee45eb69af00aa, 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668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXGeneral-Italic37 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic37 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: JYXWEG+STIXMath-Italic31 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic31 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXGeneral-Italic36 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic36 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular29 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular29 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXGeneral-Italic40 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic40 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXGeneral-Italic42 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic42 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: GRJEOM+STIXGeneral-Regular20 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: GRJEOM+STIXGeneral-Regular20 Flags: Symbolic, SmallCap FontBBox: 0, -122, 775, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: JYXWEG+STIXMath-Italic39 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic39 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: GRJEOM+STIXGeneral-Regular18 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: GRJEOM+STIXGeneral-Regular18 Flags: Symbolic, SmallCap FontBBox: 0, -122, 775, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXGeneral-Italic38 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic38 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXGeneral-Italic39 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: 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FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular32 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular30 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular30 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic33 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic33 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXGeneral-Italic41 FontSubset: true FirstChar: 25 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic41 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: GRJEOM+STIXGeneral-Regular17 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: GRJEOM+STIXGeneral-Regular17 Flags: Symbolic, SmallCap FontBBox: 0, -122, 775, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular34 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular34 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular44 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular44 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular35 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular35 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXGeneral-Italic44 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic44 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular39 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular39 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular37 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular37 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular42 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular42 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular38 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular38 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular36 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular36 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular43 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: 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FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic42 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic42 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: GRJEOM+STIXGeneral-Regular21 FontSubset: true FirstChar: 24 LastChar: 33 FontDescriptor: FontName: GRJEOM+STIXGeneral-Regular21 Flags: Symbolic, SmallCap FontBBox: 0, -122, 775, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: GRJEOM+STIXGeneral-Regular22 FontSubset: true FirstChar: 26 LastChar: 33 FontDescriptor: FontName: GRJEOM+STIXGeneral-Regular22 Flags: Symbolic, SmallCap FontBBox: 0, -122, 775, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: GRJEOM+STIXGeneral-Regular26 FontSubset: 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BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXGeneral-Italic51 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic51 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular47 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular47 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic45 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic45 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXGeneral-Italic49 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: 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LastChar: 33 FontDescriptor: FontName: LBWIGC+STIXMathCalligraphy-Regular2 Flags: Symbolic FontBBox: 0, -156, 637, 662 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXGeneral-Italic71 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic71 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXGeneral-Italic72 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic72 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXGeneral-Italic9 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic9 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: 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WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular67 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular67 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic55 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic55 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXGeneral-Italic77 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic77 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular68 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular68 Flags: 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668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular12 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular12 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic53 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic53 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular14 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular14 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic9 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic9 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic60 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic60 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic11 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic11 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular70 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular70 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: 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518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXGeneral-Italic20 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic20 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular63 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular63 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic57 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic57 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: LBWIGC+STIXMathCalligraphy-Regular3 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LBWIGC+STIXMathCalligraphy-Regular3 Flags: Symbolic FontBBox: 0, -156, 637, 662 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic58 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic58 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: GRJEOM+STIXGeneral-Regular11 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: GRJEOM+STIXGeneral-Regular11 Flags: Symbolic, SmallCap FontBBox: 0, -122, 775, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular65 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular65 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXGeneral-Italic19 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic19 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular15 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular15 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: MyriadPro-SemiCn FirstChar: 0 LastChar: 255 FontDescriptor: FontName: MyriadPro-SemiCn Flags: Nonsymbolic FontBBox: -128, -250, 1059, 876 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: MyriadPro-Semibold FirstChar: 0 LastChar: 255 FontDescriptor: FontName: 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true Font: BaseFont: JYXWEG+STIXMath-Italic14 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic14 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXGeneral-Italic17 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic17 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: JYXWEG+STIXMath-Italic54 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic54 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: MyriadPro-SemiboldSemiCn FirstChar: 0 LastChar: 255 FontDescriptor: FontName: MyriadPro-SemiboldSemiCn Flags: Nonsymbolic FontBBox: -131, -250, 1115, 886 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXGeneral-Italic18 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic18 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular66 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular66 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic13 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic13 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXGeneral-Regular FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXGeneral-Regular Flags: Symbolic, AllCap FontBBox: 0, -122, 476, 676 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: JYXWEG+STIXMath-Italic61 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic61 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: GRJEOM+STIXGeneral-Regular10 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: GRJEOM+STIXGeneral-Regular10 Flags: Symbolic, SmallCap FontBBox: 0, -122, 775, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: JYXWEG+STIXMath-Italic15 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: JYXWEG+STIXMath-Italic15 Flags: Symbolic FontBBox: 0, -187, 518, 668 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXGeneral-Italic3 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic3 Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: GRJEOM+STIXGeneral-Regular13 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: GRJEOM+STIXGeneral-Regular13 Flags: Symbolic, SmallCap FontBBox: 0, -122, 775, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: GRJEOM+STIXGeneral-Regular14 FontSubset: true FirstChar: 26 LastChar: 33 FontDescriptor: FontName: GRJEOM+STIXGeneral-Regular14 Flags: Symbolic, SmallCap FontBBox: 0, -122, 775, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXGeneral-Italic FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXGeneral-Italic Flags: Symbolic FontBBox: -27, -206, 476, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: GRJEOM+STIXGeneral-Regular12 FontSubset: true FirstChar: 24 LastChar: 33 FontDescriptor: FontName: GRJEOM+STIXGeneral-Regular12 Flags: Symbolic, SmallCap FontBBox: 0, -122, 775, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KXHCSE+STIXMath-Regular FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LBWIGC+STIXMathCalligraphy-Regular4 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: LBWIGC+STIXMathCalligraphy-Regular4 Flags: Symbolic FontBBox: 0, -156, 637, 662 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true 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FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: KXHCSE+STIXMath-Regular22 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: KXHCSE+STIXMath-Regular22 Flags: Symbolic FontBBox: 0, -41, 637, 547 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: MyriadPro-Bold FirstChar: 0 LastChar: 255 FontDescriptor: FontName: MyriadPro-Bold Flags: Nonsymbolic FontBBox: -163, -250, 1256, 989 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: HSZPCK+STIX-Regular FontSubset: true FirstChar: 27 LastChar: 243 FontDescriptor: FontName: HSZPCK+STIX-Regular Flags: Serif, Nonsymbolic FontBBox: -970, -486, 2208, 1023 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JYXWEG+STIXMath-Italic2 FontSubset: true 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Poincaré disc Phase Portraits of a Class of Continuous Piecewise Linear Differential Systems Jie Li Jaume Llibre 10.1007/s12591-023-00666-7 2010-04-23 true springer.com springerlink.com https://doi.org/10.1007/s12591-023-00666-7 10.1007/s12591-023-00666-7 0974-6870 33 2 671 728 journal Differential Equations and Dynamical Systems The Author(s) 2010-04-23 true 10.1007/s12591-023-00666-7 noindex springer.com springerlink.com VoR uuid:5f21430e-c593-4a19-b798-118aa8564164 uuid:dd155a35-9042-4a03-9b4f-e8e529026483 default 1 converted uuid:b15d4f78-7adf-4d05-8cbd-7550ba55dc7f converted to PDF/A-2b pdfToolbox 2025-03-24T17:49:24+05:30 converted uuid:b840063d-571a-4695-89c2-bca21a479b68 converted to PDF/A-2b pdfToolbox 2025-03-24T17:50:57+05:30 2 B Jie Li http://orcid.org/0000-0003-0134-7674 http://ns.adobe.com/pdfx/1.3/ pdfx Adobe Document Info PDF eXtension Schema external Mirrors crossmark:MajorVersionDate CrossmarkMajorVersionDate Text external Mirrors crossmark:CrossmarkDomainExclusive 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MajorVersionDate Text internal CrossmarkDomainExclusive CrossmarkDomainExclusive Text internal CrossMarkDomains CrossMarkDomains seq Text http://prismstandard.org/namespaces/basic/2.0/ prism Prism Schema external This element provides the url for an article or unit of content. The attribute platform is optionally allowed for situations in which multiple URLs must be specified. PRISM recommends that a subset of the PCV platform values, namely “mobile” and “web”, be used in conjunction with this element. NOTE: PRISM recommends against the use of the #other value allowed in the PRISM Platform controlled vocabulary. In lieu of using #other please reach out to the PRISM group at prism-wg@yahoogroups.com to request addition of your term to the Platform Controlled Vocabulary. url URI external The Digital Object Identifier for the article. The DOI may also be used as the dc:identifier. If used as a dc:identifier, the URI form should be captured, and the bare identifier should also be captured using prism:doi. If an alternate unique identifier is used as the required dc:identifier, then the DOI should be specified as a bare identifier within prism:doi only. If the URL associated with a DOI is to be specified, then prism:url may be used in conjunction with prism:doi in order to provide the service endpoint (i.e. the URL). doi Text external ISSN for an electronic version of the issue in which the resource occurs. Permits publishers to include a second ISSN, identifying an electronic version of the issue in which the resource occurs (therefore e(lectronic)Issn. 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Typically this will be used to provide the name of the magazine an article appeared in as metadata for the article, along with information such as the article title, the publisher, volume, number, and cover date. Note: Publication name can be used to differentiate between a print magazine and the online version if the names are different such as “magazine” and “magazine.com.” publicationName Text external Copyright copyright Text http://ns.adobe.com/pdf/1.3/ pdf Adobe PDF Schema internal A name object indicating whether the document has been modified to include trapping information Trapped Text http://ns.adobe.com/xap/1.0/mm/ xmpMM XMP Media Management Schema internal UUID based identifier for specific incarnation of a document InstanceID URI internal The common identifier for all versions and renditions of a document. DocumentID URI internal The common identifier for all versions and renditions of a document. 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