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 “Computation of the topological entropy in chaotic biophysical bursting models for excitable cells.”
Topological entropy of Cournot-Puu duopoly.
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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Chaos in ecology: The topological entropy of a tritrophic food chain model.
Duarte, Jorge, Januário, Cristina, Martins, Nuno (2008)
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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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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Entropy Model to Simulate Origin-Destination Trip Generation
Savo M. Jovanović (1997)
The Yugoslav Journal of Operations Research
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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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Approximating entropy of maps of the interval
Louis Block, Ethan M. Coven (1989)
Banach Center Publications
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Chaos: Challenges from and to socio-spatial form and policy.
Dendrinos, Dimitrios S. (1997)
Discrete Dynamics in Nature and Society
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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...
Chaotic behaviour of the map x ↦ ω(x, f)
Emma D’Aniello, Timothy Steele (2014)
Open Mathematics
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Let K(2ℕ) be the class of compact subsets of the Cantor space 2ℕ, furnished with the Hausdorff metric. Let f ∈ C(2ℕ). We study the map ω f: 2ℕ → K(2ℕ) defined as ω f (x) = ω(x, f), the ω-limit set of x under f. Unlike the case of n-dimensional manifolds, n ≥ 1, we show that ω f is continuous for the generic self-map f of the Cantor space, even though the set of functions for which ω f is everywhere discontinuous on a subsystem is dense in C(2ℕ). The relationships between the continuity...
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.
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?