Approximation of attractors using Chebyshev polynomials

被引：1
作者：
Yannacopoulos, AN
Brindley, J
Merkin, JH
Pilling, MJ
机构：
[1] UNIV LEEDS,DEPT APPL MATH,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND
[2] UNIV LEEDS,SCH CHEM,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND
来源：
PHYSICA D | 1996年 / 99卷 / 2-3期
关键词：
D O I：
10.1016/S0167-2789(96)00164-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 applied to the reduction of the three-dimensional Belousov-2abotinskii system to a two-dimensional one. The choice of other bases for the reconstruction of the attractor is discussed with special reference to Hermite functions where the derivation is worked out explicitly.
引用
收藏
页码：162 / 174
页数：13
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