e6814fb0d7686de12da3b02656454ecc a2019v14n4p409.pdf b3b8c9471f751ac58933abac63da1d8e43fa8bc5 a2019v14n4p409.pdf c2ca2e1d101d3c6277b0345f2c16228d1cef7110ab84426e7f329fcefb28d9ec a2019v14n4p409.pdf Title: Canards Existence in the Hindmarsh–Rose model Subject: Math. Model. Nat. Phenom. 14 (2019) 409. DOI: 10.1051/mmnp/2019012 Keywords: Hindmarsh–Rose model, singularly perturbed dynamical systems, canard solutions Author: Ginoux Jean-Marc, Llibre Jaume, Tchizawa Kiyoyuki Creator: LaTeX with hyperref package Producer: pdfTeX-1.40.17 CreationDate: Wed Jul 10 14:56:25 2019 CEST ModDate: Thu Jul 11 14:17:42 2019 CEST Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 21 Encrypted: no Page size: 595.276 x 765.354 pts Page rot: 0 File size: 542315 bytes Optimized: no PDF version: 1.3 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- MCSGBP+CMMI10 Type 1 Builtin yes yes no 36 0 YTPWLH+CMR8 Type 1 Builtin yes yes no 25 0 AXOSUC+CMTI8 Type 1 Builtin yes yes no 39 0 FUJSDD+CMCSC10 Type 1 Builtin yes yes no 30 0 FVOXFH+CMR6 Type 1 Builtin yes yes no 41 0 AQKOUH+CMSY8 Type 1 Builtin yes yes no 45 0 RENJPA+CMTT8 Type 1 Builtin yes yes no 44 0 HZSFUQ+CMR9 Type 1 Builtin yes yes no 31 0 CNYOTC+CMBX10 Type 1 Builtin yes yes no 26 0 QSHYWM+CMTI9 Type 1 Builtin yes yes no 32 0 HUKGVY+CMBX9 Type 1 Builtin yes yes no 33 0 IUNLBF+CMTI10 Type 1 Builtin yes yes no 35 0 XQVTQY+CMR7 Type 1 Builtin yes yes no 37 0 TCKWYP+CMR10 Type 1 Builtin yes yes no 27 0 NKUVDN+CMSY10 Type 1 Builtin yes yes no 77 0 PJHJVX+CMTI7 Type 1 Builtin yes yes no 76 0 QCYKTT+CMEX10 Type 1 Builtin yes yes no 126 0 ORWCIX+CMMI7 Type 1 Builtin yes yes no 122 0 NZPTBS+CMSY7 Type 1 Builtin yes yes no 120 0 QDTWCG+MSBM10 Type 1 Builtin yes yes no 121 0 TVQGYV+CMMI8 Type 1 Builtin yes yes no 130 0 URAWMF+CMMI6 Type 1 Builtin yes yes no 131 0 BGDXOB+MSAM10 Type 1 Builtin yes yes no 132 0 RHUHOI+CMR5 Type 1 Builtin yes yes no 246 0 JCTYKD+CMBX8 Type 1 Builtin yes yes no 308 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2020-05-05 05:46:53 CEST RepresentationInformation: a2019v14n4p409.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2020-04-30 18:12:09 CEST Size: 542315 Format: PDF Version: 1.3 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 703 FreeObjects: 4 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Outlines: Item: Title: Canards Existence in the Hindmarsh{rotect --}Rose model Children: Item: Title: 1 Introduction Item: Title: 2 Definitions Children: Item: Title: 2.1 Singularly perturbed systems Item: Title: 2.2 Reduced slow system Item: Title: 2.3 Slow invariant manifold Item: Title: 2.4 Canards, singular canards and maximal canards Item: Title: 2.5 Constrained system Item: Title: 2.6 Normalized slow dynamics Item: Title: 2.7 Desingularized vector field Item: Title: 2.8 Pseudo singular points and folded singularities Item: Title: 3 Three-dimensional singularly perturbed systems with two fast variables Children: Item: Title: 3.1 Critical manifold Item: Title: 3.2 Constrained system Item: Title: 3.3 Normalized slow dynamics Item: Title: 3.4 Desingularized system on the critical manifold Item: Title: 3.5 Pseudo singular points Item: Title: 3.6 Extension of Benoït's generic hypothesis Item: Title: 3.7 Canard existence in R1+2 Item: Title: 4 Canards existence in the Hindmarsh{rotect --}Rose model Children: Item: Title: 4.1 Critical manifold Item: Title: 4.2 Constrained system Item: Title: 4.3 Normalized slow dynamics Item: Title: 4.4 Desingularized system on the critical manifold Item: Title: 4.5 Pseudo singular points Item: Title: 4.6 Canard existence Item: Title: 5 Discussion Item: Title: References Info: Title: Canards Existence in the Hindmarsh–Rose model Author: Ginoux Jean-Marc, Llibre Jaume, Tchizawa Kiyoyuki Subject: Math. Model. Nat. Phenom. 14 (2019) 409. 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