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

Abstract

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.

Authors:
;  [1]
  1. The Department of Information Sciences, Tokyo University of Science (Japan)
Publication Date:
OSTI Identifier:
22251065
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 55; Journal Issue: 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; ENTROPY; LYAPUNOV METHOD

Citation Formats

Kamizawa, T., E-mail: res.kamizawa@gmail.com, Hara, T., and Ohya, M. On relations among the entropic chaos degree, the Kolmogorov-Sinai entropy and the Lyapunov exponent. United States: N. p., 2014. Web. doi:10.1063/1.4868217.
Kamizawa, T., E-mail: res.kamizawa@gmail.com, Hara, T., & Ohya, M. On relations among the entropic chaos degree, the Kolmogorov-Sinai entropy and the Lyapunov exponent. United States. https://doi.org/10.1063/1.4868217
Kamizawa, T., E-mail: res.kamizawa@gmail.com, Hara, T., and Ohya, M. 2014. "On relations among the entropic chaos degree, the Kolmogorov-Sinai entropy and the Lyapunov exponent". United States. https://doi.org/10.1063/1.4868217.
@article{osti_22251065,
title = {On relations among the entropic chaos degree, the Kolmogorov-Sinai entropy and the Lyapunov exponent},
author = {Kamizawa, T., E-mail: res.kamizawa@gmail.com and Hara, T. and Ohya, M.},
abstractNote = {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.},
doi = {10.1063/1.4868217},
url = {https://www.osti.gov/biblio/22251065}, journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 3,
volume = 55,
place = {United States},
year = {Sat Mar 15 00:00:00 EDT 2014},
month = {Sat Mar 15 00:00:00 EDT 2014}
}