Topological entropy of Cournot-Puu duopoly.
Cánovas, Jose S., Medina, David López (2010)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Chaotic behaviour of the map x ↦ ω(x, f)”
Topological entropy of Cournot-Puu duopoly.
A distributionally chaotic triangular map with zero sequence topological entropy.
Forti, G.L., Paganoni, L. (1998)
Mathematica Pannonica
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Dynamical stability of the typical continuous function
Timothy H. Steele (2005)
Mathematica Slovaca
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On some notions of chaos in dimension zero
Rafał Pikuła (2007)
Colloquium Mathematicae
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We compare four different notions of chaos in zero-dimensional systems (subshifts). We provide examples showing that in that case positive topological entropy does not imply strong chaos, strong chaos does not imply complicated dynamics at all, and ω-chaos does not imply Li-Yorke chaos.
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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On topological sequence entropy and chaotic maps on inverse limit spaces.
Canovas, J.S. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Topological sequence entropy for maps of the circle
Roman Hric (2000)
Commentationes Mathematicae Universitatis Carolinae
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A continuous map of the interval is chaotic iff there is an increasing sequence of nonnegative integers such that the topological sequence entropy of relative to , , is positive ([FS]). On the other hand, for any increasing sequence of nonnegative integers there is a chaotic map of the interval such that ([H]). We prove that the same results hold for maps of the circle. We also prove some preliminary results concerning topological sequence entropy for maps of general compact...
weakly chaotic functions with zero topological entropy and non- flat critical points.
Jiménez López, Víctor (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Transitive sensitive subsystems for interval maps
Sylvie Ruette (2005)
Studia Mathematica
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We prove that for continuous interval maps the existence of a non-empty closed invariant subset which is transitive and sensitive to initial conditions is implied by positive topological entropy and implies chaos in the sense of Li-Yorke, and we exhibit examples showing that these three notions are distinct.