Chaos in hyperspace system

DOI10.1016/J.CHAOS.2007.08.009zbMath1197.37016OpenAlexW2004663243MaRDI QIDQ602199

Bingzhe Hou, Xian-Feng Ma, Gongfu Liao

Publication date: 31 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.08.009

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40)

Related Items (16)

Chaos for multivalued maps and induced hyperspace maps ⋮ Unnamed Item ⋮ On turbulent, erratic and other dynamical properties of Zadeh's extensions ⋮ Chaotic points of multifunctions ⋮ Characterizing ergodicity of induced hyperspace dynamical systems ⋮ The generalized entropy in the generalized topological spaces ⋮ Dynamic to Quotients of Hyperspaces ⋮ Dynamic properties for the induced maps on n-fold symmetric product suspensions ⋮ F-sensitivity and (F_1, F_2)-sensitivity between dynamical systems and their induced hyperspace dynamical systems ⋮ Chaos in non-autonomous discrete systems and their induced set-valued systems ⋮ A mathematical-physical approach on regularity in hit-and-miss hypertopologies for fuzzy set multifunctions ⋮ Topological entropy for set valued maps ⋮ Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems ⋮ The transitivity of induced maps ⋮ Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type ⋮ Topological entropy of multivalued maps in topological spaces and hyperspaces

Cites Work

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• Chaotic Functions with Zero Topological Entropy
• Period Three Implies Chaos
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• On Li-Yorke pairs
• Entropy for Group Endomorphisms and Homogeneous Spaces

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