Sensitivity for set-valued maps induced by \(M\)-systems

DOI10.1016/j.chaos.2007.02.015zbMath1152.54340OpenAlexW2093529035MaRDI QIDQ2519915

Gongfu Liao, Bingzhe Hou, Heng Liu

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.02.015

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Topological dynamics (37B99)

Related Items (5)

Mixing properties of set-valued maps on hyperspaces via Furstenberg families ⋮ Chaos to Multiple Mappings ⋮ Sensitivity and transitivity of fuzzified dynamical systems ⋮ Conceptions on topological transitivity in products and symmetric products ⋮ \(\mathcal{F}\)-sensitivity and multi-sensitivity of hyperspatial dynamical systems

Cites Work

• Transitivity, mixing and chaos for a class of set-valued mappings
• Dynamics in one dimension
• On maps with dense orbits and the definition of chaos
• Topological dynamics of transformations induced on the space of probability measures
• A note on transitivity in set-valued discrete systems.
• On chaotic set-valued discrete dynamical systems
• Chaos for induced hyperspace maps
• Robinson's chaos in set-valued discrete systems
• Set-valued discrete chaos
• Topological entropy and chaos for maps induced on hyperspaces
• A characterization of ω-limit sets of maps of the interval with zero topological entropy
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• A Topologically Strongly Mixing Symbolic Minimal Set
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