Entropy dimension of dynamical systems.

de Carvalho, Maria

Displaying similar documents to “Entropy dimension of dynamical systems.”

Time weighted entropies

Jörg Schmeling (2000)

Colloquium Mathematicae

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For invertible transformations we introduce various notions of topological entropy. For compact invariant sets these notions are all the same and equal the usual topological entropy. We show that for non-invariant sets these notions are different. They can be used to detect the direction in time in which the system evolves to highest complexity.

Entropy of topological directions

Andrzej Biś (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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J. S. Chawla (1980)

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On topological entropy

Riečan, B.

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Optimal discrete entropy.

Shastri, Aditya, Govil, Rekha (2001)

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Estimates of topological entropy of continuous maps with applications.

Yang, Xiao-Song, Bai, Xiaoming (2006)

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Entropies of self-mappings of topological spaces with richer structures

Miroslav Katětov (1993)

Commentationes Mathematicae Universitatis Carolinae

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For mappings $f : S \to S$ , where $S$ is a merotopic space equipped with a diameter function, we introduce and examine an entropy, called the $δ$ -entropy. The topological entropy and the entropy of self-mappings of metric spaces are shown to be special cases of the $δ$ -entropy. Some connections with other characteristics of self-mappings are considered. We also introduce and examine an entropy for subsets of $S^{N}$ , which is closely connected with the $δ$ -entropy of $f : S \to S$ .