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On relations among the entropic chaos degree, the Kolmogorov-Sinai entropy and the Lyapunov exponent

2014; American Institute of Physics; Volume: 55; Issue: 3 Linguagem: Inglês

10.1063/1.4868217

1527-2427

Takeo Kamizawa, Toshihide Hara, Makoto Ohya,

Mathematical Dynamics and Fractals

There exist several criteria to describe the chaotic behaviour of a dynamical system. In this paper, we discuss the relations among three criteria: Entropic Chaos Degree, Kolmogorov-Shinai entropy, and Lyapunov exponent. Moreover, the problems of their computation are discussed.