On the relation of KS entropy and permutation entropy
Copyright policy )On the relation of KS entropy and permutation entropy
Since Bandt et al. have shown that the permutation entropy and the Kolmogorov-Sinai entropy coincide for piecewise monotone interval maps, the relationship of both entropies for time-discrete dynamical systems is of a certain interest. The aim of this paper is a discussion of this relationship on the basis of an ordinal characterization of the Kolmogorov-Sinai entropy recently given.
- Czech Academy of Sciences Czech Republic
- Institute of Mathematics Czech Republic
- Polish Academy of Sciences Poland
- Institute of Mathematics Viet Nam
- National Academy of Sciences of Belarus Belarus
Topological entropy, permutation entropy, FOS: Mathematics, FOS: Physical sciences, Kolmogorov-Sinai entropy, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Chaotic Dynamics (nlin.CD), Measure-preserving transformations, Nonlinear Sciences - Chaotic Dynamics, ordinal patterns
Topological entropy, permutation entropy, FOS: Mathematics, FOS: Physical sciences, Kolmogorov-Sinai entropy, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Chaotic Dynamics (nlin.CD), Measure-preserving transformations, Nonlinear Sciences - Chaotic Dynamics, ordinal patterns
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