Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems

Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems

This paper is concerned with the limiting process known as Reductive Perturbation Theory. A new view of both conventional reductive perturbation theory and the higher order theory of Kodama is presented for a general class of dissipative systems. An alternative Iterative approach to the determinatio...

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Bibliographic Details
Main Authors: Hedley C. Morris, Derek Sheil, Roger Dodd
Format: Article
Language:English
Published: Hindawi Limited 1984-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
reductive perturbation theory
dissipative systems
invariant manifolds
higher order corrections
contraction mapping.
Online Access:http://dx.doi.org/10.1155/S0161171284000685
Description
Summary:This paper is concerned with the limiting process known as Reductive Perturbation Theory. A new view of both conventional reductive perturbation theory and the higher order theory of Kodama is presented for a general class of dissipative systems. An alternative Iterative approach to the determination of higher order corrections is outlined.
ISSN:0161-1712
1687-0425

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