Exact Devaney chaos and entropy

DOI10.1007/BF02972670zbMath1119.37027MaRDI QIDQ996115

Dominik Kwietniak, Michał Misiurewicz

Publication date: 11 September 2007

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

circle mapshyperspaces

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40)

Related Items (18)

Unnamed Item ⋮ Dynamics of induced mappings on symmetric products, some answers ⋮ Topological entropy of compact subsystems of transitive real line maps ⋮ Topological structure and entropy of mixing graph maps ⋮ On the dynamics of the damped extensible beam 1D-equation ⋮ Dynamic properties for the induced maps on symmetric product suspensions of a topological space ⋮ On Devaney chaotic induced fuzzy and set-valued dynamical systems ⋮ Dynamic properties for the induced maps on n-fold symmetric product suspensions ⋮ Existence of Chaos in a Restricted Oligopoly Model with Investment Periods ⋮ Dynamic properties for the induced maps on \(n\)-fold symmetric product suspensions. II. ⋮ Chaos in non-autonomous discrete systems and their induced set-valued systems ⋮ Topological entropy and chaos for maps induced on hyperspaces ⋮ When lower entropy implies stronger Devaney chaos ⋮ Applying Circulant Matrices Properties to Synchronization Problems ⋮ Chaos on hyperspaces ⋮ Shadowing for induced maps of hyperspaces ⋮ Applying snapback repellers in resource budget models ⋮ Chaos in the Sense of Devaney for Two-Dimensional Time-Varying Generalized Symbolic Dynamical Systems

Cites Work

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• How little is little enough?
• Topological entropy of Devaney chaotic maps
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• Chaos and entropy for graph maps
• ω-Chaos and Topological Entropy
• Transitivity and the centre for maps of the circle
• Lower bounds of the topological entropy for continuous maps of the circle of degree one
• Entropy of piecewise monotone mappings
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• Lattices in [Double-Struck Capital C and Finite Subsets of a Circle]
• Dense chaos for continuous interval maps
• On the third symmetric potency of S1

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