Chain transitivity in hyperspaces

DOI10.1016/j.chaos.2015.08.026zbMath1355.37032OpenAlexW2139107803MaRDI QIDQ508493

Leobardo Fernández, Mate Puljiz, Ártico Ramírez, Chris Good

Publication date: 7 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.08.026

zbMATH Keywords

chain transitivity\(\delta\)-pseudo orbitchain weakly mixingexact by chainsinduced map

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua theory in dynamics (37B45)

Related Items (9)

Topological properties on hyperspace of group actions ⋮ Dynamics of induced maps on the space of probability measures ⋮ Almost minimal systems and periodicity in hyperspaces ⋮ Unnamed Item ⋮ Induced dynamics of nonautonomous dynamical systems ⋮ Shadowing property of hyperspace for free semigroup actions ⋮ Dynamic to Quotients of Hyperspaces ⋮ Hyperconvergence in topological dynamics ⋮ Topological chain and shadowing properties of dynamical systems on uniform spaces

Cites Work

• Recurrence properties and disjointness on the induced spaces
• Chain transitive induced interval maps on continua
• The transitivity of induced maps
• Chaos on hyperspaces
• Topological dynamics of transformations induced on the space of probability measures
• Dynamical systems, measures, and fractals via domain theory
• Characterizations of \(\omega\)-limit sets in topologically hyperbolic systems
• Chain recurrence rates and topological entropy
• Chaos for induced hyperspace maps
• Set-valued discrete chaos
• Topological entropy and chaos for maps induced on hyperspaces
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Inverse Limits, Entropy and Weak Isomorphism for Discrete Dynamical Systems
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