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Applied statistical analysis for strange attractors and related problems
Author(s) -
Kontorovich Valeri
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.866
Subject(s) - attractor , mathematics , cumulant , differentiable function , chaotic , lorenz system , statistical physics , chaos (operating system) , chaotic systems , order (exchange) , computer science , mathematical analysis , statistics , artificial intelligence , physics , computer security , finance , economics
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 ‘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 © 2007 John Wiley & Sons, Ltd.