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Robust chaos and the continuity of attractors

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Publication:5082075
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DOI10.1093/IMATRM/TNAA002zbMath1498.37059arXiv1906.11974OpenAlexW3044837464MaRDI QIDQ5082075

Paul Glendinning, David J. W. Simpson

Publication date: 15 June 2022

Published in: Transactions of Mathematics and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.11974


zbMATH Keywords

piecewise-linearHausdorff distancepiecewise-smoothborder-collision bifurcation


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)


Related Items (3)

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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