A constructive approach to robust chaos using invariant manifolds and expanding cones

DOI10.3934/dcds.2020409zbMath1478.37055arXiv1906.11969OpenAlexW3113240042MaRDI QIDQ2030824

David J. W. Simpson, Paul Glendinning

Publication date: 8 June 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.11969

zbMATH Keywords

Lyapunov exponentpiecewise-smooth systemborder-collision bifurcationpiecewise-linear systemrobust chaos

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35) Bifurcation theory for difference equations (39A28)

Related Items

Renormalization of the Two-Dimensional Border-Collision Normal Form, Chaos in the border-collision normal form: a computer-assisted proof using induced maps and invariant expanding cones, Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps, Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps

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