PMID: 11308755Apr 20, 2001Paper

Dimension of interaction dynamics

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D WójcikM Kuś

Abstract

A method allowing one to distinguish interacting from noninteracting systems based on available time series is proposed and investigated. Some facts concerning generalized Rényi dimensions that form the basis of our method are proved. We show that one can find the dimension of the part of the attractor of the system connected with interaction between its parts. We use our method to distinguish interacting from noninteracting systems on the examples of logistic and Hénon maps. A classification of all possible interaction schemes is given.

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Citations

Jun 6, 2002·IEEE Transactions on Bio-medical Engineering·Ernesto PeredaJulián J González
Aug 24, 2005·Clinical Neurophysiology : Official Journal of the International Federation of Clinical Neurophysiology·C J Stam
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Szymon Leski, Daniel K Wójcik

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