Topological entropy for set valued maps

DOI10.1016/j.na.2010.04.054zbMath1193.37019OpenAlexW2013634950MaRDI QIDQ988800

Marek Lampart, Peter Raith

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.054

zbMATH Keywords

dynamical systemcircle homeomorphismtopological entropyinduced set valued mapinterval homeomorphism

Mathematics Subject Classification ID

Topological dynamics (37B99) Dynamical systems involving maps of the circle (37E10) Topological entropy (37B40) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)

Related Items (17)

Chaos for multivalued maps and induced hyperspace maps ⋮ Unnamed Item ⋮ Topological entropy of the extended tree map on the space of fuzzy numbers ⋮ Induced dynamics of nonautonomous dynamical systems ⋮ On recurrence and entropy in the hyperspace of continua in dimension one ⋮ Polynomial entropy of induced maps of circle and interval homeomorphisms ⋮ Parametric topological entropy of families of multivalued maps in topological spaces and induced hyperspace maps ⋮ Shadowing, topological entropy and recurrence of induced Morse-Smale diffeomorphism ⋮ Topological entropy of induced circle maps on hyperspaces ⋮ Topological \(r\)-entropy and measure-theoretic \(r\)-entropy of a continuous map ⋮ Topological entropy of fuzzified dynamical systems ⋮ Topological conjugacy between multifunctions ⋮ On local aspects of topological transitivity and weak mixing in set-valued discrete systems ⋮ CHAOS ON HYPERSPACE ⋮ Entropy of induced maps of regular curves homeomorphisms ⋮ \(\mathcal{F}\)-sensitivity and multi-sensitivity of hyperspatial dynamical systems ⋮ Topological entropy of multivalued maps in topological spaces and hyperspaces

Cites Work

• Chaos in hyperspace system
• Devaney's chaotic on induced maps of hyperspace
• Chaos on hyperspaces
• Topological dynamics of transformations induced on the space of probability measures
• A note on transitivity in set-valued discrete systems.
• Distributional chaos for triangular maps
• On chaotic set-valued discrete dynamical systems
• Kato's chaos in set-valued discrete systems
• Chaos for induced hyperspace maps
• Robinson's chaos in set-valued discrete systems
• Set-valued discrete chaos
• On mixing property in set-valued discrete systems
• Topological entropy and chaos for maps induced on hyperspaces
• Unnamed Item

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