A geometric criterion for the existence of chaos based on periodic orbits in continuous-time autonomous systems

DOI10.1007/s10883-021-09582-xOpenAlexW2953294794MaRDI QIDQ2694490

Xu Zhang, Guan-Rong Chen

Publication date: 3 April 2023

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05405

zbMATH Keywords

chaossubshift of finite typeSmale horseshoehyperbolic periodic orbitstable/unstable manifolds

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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