COUPLED-EXPANDING MAPS FOR IRREDUCIBLE TRANSITION MATRICES

DOI10.1142/S0218127410028094zbMath1208.37012MaRDI QIDQ3086279

Yuming Shi, Xu Zhang

Publication date: 30 March 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

chaossymbolic dynamical systemcoupled-expanding mapirreducible transition matrix

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (15)

Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including \(A\)-coupled expanding systems ⋮ Conditions for topologically semi-conjugacy of the induced systems to the subshift of finite type ⋮ Chaos induced by weak A-coupled-expansion of non-autonomous discrete dynamical systems ⋮ A geometric criterion for the existence of chaos based on periodic orbits in continuous-time autonomous systems ⋮ Chaotification of First-Order Partial Difference Equations ⋮ \(A\)-coupled-expanding and distributional chaos ⋮ Some properties of coupled-expanding maps in compact sets ⋮ CHAOS IN NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS APPROACHED BY THEIR INDUCED SYSTEMS ⋮ Strong Li–Yorke Chaos for Time-Varying Discrete Dynamical Systems with A-Coupled-Expansion ⋮ Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type ⋮ Some criteria of chaos in non-autonomous discrete dynamical systems ⋮ Chaotic Polynomial Maps ⋮ Anti-Control of Chaos for First-Order Partial Difference Equations via Sine and Cosine Functions ⋮ COUPLED-EXPANDING MAPS AND MATRIX SHIFTS ⋮ Conditions for maps to be topologically conjugate or semi-conjugate to subshifts of finite type and criteria of chaos

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• Topological horseshoes
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• On Devaney's Definition of Chaos
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• Differentiable dynamical systems

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