International Journal of Mathematics and Mathematical Sciences
Volume 7 (1984), Issue 4, Pages 625-661
doi:10.1155/S0161171284000685
Invariant manifolds and alternative approaches to reduce perturbation theory: Dissipative systems
Hedley C. Morris1
, Derek Sheil2
and Roger Dodd2
1Department of Mathematics, Claremont Graduate School, Claremont 91711, California, USA
2Trinity College Dublin, Ireland
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.