APPROXIMATION OF ATTRACTORS USING CHEBYSHEV POLYNOMIALS

Authors
YANNACOPOULOS AN BRINDLEY J MERKIN JH PILLING MJ
Citation
An. Yannacopoulos et al., APPROXIMATION OF ATTRACTORS USING CHEBYSHEV POLYNOMIALS, Physica. D, 99(2-3), 1996, pp. 162-174
Citations number
6
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
99
Issue
2-3
Year of publication
1996
Pages
162 - 174
Database
ISI
SICI code
0167-2789(1996)99:2-3<162:AOAUCP>2.0.ZU;2-D
Abstract
A method for the approximation of the attractor of dissipative systems of differential equations using expansion of the asymptotic solution in a series of Chebyshev polynomials is proposed. The method is applie d to the reduction of the three-dimensional Belousov-2abotinskii syste m to a two-dimensional one. The choice of other bases for the reconstr uction of the attractor is discussed with special reference to Hermite functions where the derivation is worked out explicitly.