Estimates of topological entropy of continuous maps with applications.
Yang, Xiao-Song, Bai, Xiaoming (2006)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Chaos in nonautonomous dynamical systems.”
Estimates of topological entropy of continuous maps with applications.
A remark on positive topological entropy of -buffer switched flow networks.
Yang, Xiao-Song (2005)
Discrete Dynamics in Nature and Society
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A distributionally chaotic triangular map with zero sequence topological entropy.
Forti, G.L., Paganoni, L. (1998)
Mathematica Pannonica
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Entropy of piecewise monotone mappings
M. Misiurewicz, W. Szlenk (1980)
Studia Mathematica
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Entropy dimension of dynamical systems.
de Carvalho, Maria (1997)
Portugaliae Mathematica
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Topological entropy of Cournot-Puu duopoly.
Cánovas, Jose S., Medina, David López (2010)
Discrete Dynamics in Nature and Society
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Metric Entropy of Nonautonomous Dynamical Systems
Christoph Kawan (2014)
Nonautonomous Dynamical Systems
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We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence (Xn, μn) of probability spaces and a sequence of measurable maps fn : Xn → Xn+1 with fnμn = μn+1. This notion generalizes the classical concept of metric entropy established by Kolmogorov and Sinai, and is related via a variational inequality to the topological entropy of nonautonomous systems as defined by Kolyada, Misiurewicz, and Snoha. Moreover, it shares several properties with the...
An invariant for continuous mappings
J. S. Chawla (1980)
Kybernetika
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On topological entropy
Riečan, B.
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Commutativity of the topological sequence entropy on finite graphs.
Cánovas, J.S. (2003)
Mathematica Pannonica
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The topological entropy versus level sets for interval maps
Jozef Bobok (2002)
Studia Mathematica
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We answer affirmatively Coven's question [PC]: Suppose f: I → I is a continuous function of the interval such that every point has at least two preimages. Is it true that the topological entropy of f is greater than or equal to log 2?
On the origin and development of some notions of entropy
Francisco Balibrea (2015)
Topological Algebra and its Applications
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Discrete dynamical systems are given by the pair (X, f ) where X is a compact metric space and f : X → X a continuous maps. During years, a long list of results have appeared to precise and understand what is the complexity of the systems. Among them, one of the most popular is that of topological entropy. In modern applications other conditions on X and f have been considered. For example X can be non-compact or f can be discontinuous (only in a finite number of points and with bounded...