Complexity of infinite sequences with zero entropy
Christian Mauduit, Carlos Gustavo Moreira (2010)
Acta Arithmetica
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Displaying similar documents to “Symbolic dynamics, entropy and complexity of the Feigenbaum map at the accumulation point.”
Complexity of infinite sequences with zero entropy
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Mariusz Lemańczyk (1985)
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Francisco Balibrea (2015)
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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...
Computation of the topological entropy in chaotic biophysical bursting models for excitable cells.
Duarte, Jorge, Silva, Luís, Sousa Ramos, J. (2006)
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Forti, G.L., Paganoni, L. (1998)
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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.