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

Abstract

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.

Keywords

• reductive perturbation theory
• dissipative systems
• invariant manifolds
• higher order corrections
• contraction mapping.