e74caeeaff6d8b4b35ccd083a7bfa455 1-s2.0-S1007570425006951-main.pdf 6624a6a122f473f6fb4267aa77fc51433f9d8370 1-s2.0-S1007570425006951-main.pdf c26e11c738424ea05b2cf956de45fc0a23e4bd0a77a979f76dd05d7d7dcef819 1-s2.0-S1007570425006951-main.pdf Title: Limit cycles in piecewise quadratic Kolmogorov systems Subject: Communications in Nonlinear Science and Numerical Simulation, 152 (2026) 109285. doi:10.1016/j.cnsns.2025.109285 Keywords: Kolmogorov systems,Poincar� map,Center-focus,Cyclicity,Limit cycles,Weak focus order,Lyapunov quantities Author: Leonardo Pereira Costa Da Cruz Creator: Elsevier Producer: Acrobat Distiller 8.1.0 (Windows) CreationDate: Thu Sep 18 11:35:40 2025 CEST ModDate: Thu Sep 18 11:55:03 2025 CEST Custom Metadata: yes Metadata Stream: yes Tagged: yes UserProperties: no Suspects: no Form: none JavaScript: no Pages: 16 Encrypted: no Page size: 544.252 x 742.677 pts Page rot: 0 File size: 2684530 bytes Optimized: yes PDF version: 1.7 name type encoding emb sub uni object 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PageClip: CropBox PageLayout: SinglePage PageMode: UseOutlines Language: en-US Outlines: Item: Title: Limit cycles in piecewise quadratic Kolmogorov systems Children: Item: Title: 1 Introduction Item: Title: 2 Preliminaries on Hopf-bifurcations type, limit cycles and center characterization Children: Item: Title: 2.1 Return map near a monodromic point and weak focus order Item: Title: 2.2 The bifurcation of limit cycles from a center family in piecewise systems Item: Title: 2.3 The difference map in piecewise systems near a CC-type equilibrium point Item: Title: 2.4 Taylor series of the return map with respect to a privileged small parameter Item: Title: 2.5 Sufficient conditions to be a center in piecewise systems Item: Title: 2.6 The pseudo-Hopf bifurcation form Item: Title: 3 Caracterization of some classes of centers in K2 Item: Title: 4 Bifurcation of limit cycles in K2 Children: Item: Title: 4.1 Bifurcation of limit cycles in the center-center case Item: Title: 4.2 Bifurcation of limit cycles in the focus-focus case Item: Title: 5 Conclusions and further remarks Info: Title: Limit cycles in piecewise quadratic Kolmogorov systems Author: Leonardo Pereira Costa Da Cruz Subject: Communications in Nonlinear Science and Numerical Simulation, 152 (2026) 109285. doi:10.1016/j.cnsns.2025.109285 Keywords: Kolmogorov systems,Poincar� map,Center-focus,Cyclicity,Limit cycles,Weak focus order,Lyapunov quantities Creator: Elsevier Producer: Acrobat Distiller 8.1.0 (Windows) CreationDate: Thu Sep 18 11:35:40 CEST 2025 ModDate: Thu Sep 18 11:55:03 CEST 2025 ID: 0xe6a7e13c9344b15921201f04cebc0732, 0x47f58729430829e1db8de9e666885cb9 Filters: FilterPipeline: FlateDecode Fonts: Type0: Font: BaseFont: AAAALE+CharisSIL-Italic Encoding: Identity-H ToUnicode: true Font: BaseFont: AAAAAD+CharisSIL Encoding: Identity-H ToUnicode: true Font: BaseFont: HJITYR+CharisSIL Encoding: Identity-H ToUnicode: true Font: BaseFont: XVZVYO+LMRoman10-Regular Encoding: Identity-H ToUnicode: true Font: 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Communications in Nonlinear Science and Numerical Simulation, 152 (2026) 109285. doi:10.1016/j.cnsns.2025.109285 Kolmogorov systems Poincar� map Center-focus Cyclicity Limit cycles Weak focus order Lyapunov quantities Limit cycles in piecewise quadratic Kolmogorov systems Leonardo Pereira Costa Da Cruz Regilene Oliveira Joan Torregrosa VoR 18th September 2025 Acrobat Distiller 8.1.0 (Windows) Kolmogorov systems,Poincar� map,Center-focus,Cyclicity,Limit cycles,Weak focus order,Lyapunov quantities 18th September 2025 10.1016/j.cnsns.2025.109285 noindex journal © 2025 The Author(s). 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