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Applied statistical analysis for strange attractors and related problems

✍ Scribed by Valeri Kontorovich

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
175 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

Nowadays, the number of chaos applications has grown considerably. The applied theory of chaotic dynamic systems requires new tools for its statistical analysis. In this paper the so‐called β€˜model distribution’ approach based on the cumulants and their equations is presented in order to obtain a statistical characterization of the chaos generated by differentiable dynamic systems; as examples, the Lorenz and Chua attractors are considered. The fractional analysis of system dynamics is considered as well. Copyright Β© 2007 John Wiley & Sons, Ltd.

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