CHAOS ON ONE-DIMENSIONAL COMPACT METRIC SPACES

DOI10.1142/S0218127412502598zbMath1258.37048MaRDI QIDQ4907070

Zdeněk Kočan

Publication date: 1 March 2013

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

zbMATH Keywords

horseshoegraphchaostopological entropydendrite

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Dynamical systems involving maps of trees and graphs (37E25)

Related Items (10)

Generic chaos on dendrites ⋮ Shadowing, transitivity and a variation of omega-chaos ⋮ Transitive dendrite map with zero entropy ⋮ Limit sets, attractors and chaos ⋮ Distributional Chaos and Dendrites ⋮ ω-Chaos Without Infinite LY-Scrambled Set on Gehman Dendrite ⋮ Dendrites and Chaos ⋮ General Method of Construction of Implicit Discrete Maps Generating Chaos in 3D Quadratic Systems of Differential Equations ⋮ Dynamics on dendrites with closed endpoint sets ⋮ Exponential-Algebraic Maps and Chaos in 3D Autonomous Quadratic Systems

Cites Work

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• Period Three Implies Chaos
• Iteration Theory: Dynamical Systems and Functional Equations
• TOPOLOGICAL TRANSITIVITY AND CHAOS OF GROUP ACTIONS ON DENDRITES
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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