On mixing property in set-valued discrete systems

DOI10.1016/j.chaos.2005.04.004zbMath1108.37004OpenAlexW1996080934MaRDI QIDQ2497586

Wen-jing Guo, Rong-Bao Gu

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.004

zbMATH Keywords

mixingproperty Pspecification propertyset-valued discrete dynamical systems

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (17)

Mixing properties of set-valued maps on hyperspaces via Furstenberg families ⋮ Difference between Devaney chaos associated with two systems ⋮ Iterated function systems and well-posedness ⋮ Characterizing ergodicity of induced hyperspace dynamical systems ⋮ Dynamic properties for the induced maps on symmetric product suspensions of a topological space ⋮ 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 ⋮ Unnamed Item ⋮ Topological entropy for set valued maps ⋮ On fuzzifications of non-autonomous dynamical systems ⋮ Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems ⋮ Topological entropy and chaos for maps induced on hyperspaces ⋮ The transitivity of induced maps ⋮ Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type ⋮ A multivalued discrete system and its properties

Cites Work

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• Ergodic theory on compact spaces
• A note on transitivity in set-valued discrete systems.
• Decay of correlation implies chaos in the sense of Devaney
• Stochastic properties in Devaney's chaos
• On chaotic set-valued discrete dynamical systems
• On Devaney's Definition of Chaos
• On Intervals, Transitivity = Choas
• Periodic Points and Measures for Axiom a Diffeomorphisms
• Weak Disjointness of Transformation Groups
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos

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