Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps

DOI10.1080/10236198.2022.2070009arXiv2010.08241OpenAlexW3093232601MaRDI QIDQ6065925

David J. W. Simpson

Publication date: 11 December 2023

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08241

zbMATH Keywords

border collisionLyapunov exponentsymbol sequenceone-sided directional derivativetrapping region

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35) Computational methods for bifurcation problems in dynamical systems (37M20) Bifurcation theory for difference equations (39A28) Computational methods for invariant manifolds of dynamical systems (37M21)

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Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’

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