A COMPARISON OF POLYNOMIAL AND WAVELET EXPANSIONS FOR THE IDENTIFICATION OF CHAOTIC COUPLED MAP LATTICES-Reference-Cited by-同舟云学术

A COMPARISON OF POLYNOMIAL AND WAVELET EXPANSIONS FOR THE IDENTIFICATION OF CHAOTIC COUPLED MAP LATTICES

Published:2005-09 Issue:09 Volume:15 Page:2927-2938
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

GUO L. Z.¹,BILLINGS S. A.¹

Affiliation:

1. Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield S1 3JD, UK

Abstract

A comparison between polynomial and wavelet expansions for the identification of coupled map lattice (CML) models for deterministic spatiotemporal dynamical systems is presented in this paper. The pattern dynamics generated by smooth and nonsmooth nonlinear maps in a well-known two-dimensional CML structure are analyzed. By using an orthogonal feedforward regression algorithm (OFR), polynomial and wavelet models are identified for the CML's in chaotic regimes. The quantitative dynamical invariants such as the largest Lyapunov exponents and correlation dimensions are estimated and used to evaluate the performance of the identified models.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127405013782

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