INVARIANT MANIFOLDS AND ALTERNATIVE APPROACHES TO REDUCTIVE PERTURBATION THEORY: DISSIPATIVE SYSTEMS

Hedley C. Morris ； Derek Sheil ； Roger Dodd

《International Journal of Mathematics and Mathematical Sciences》 1984卷 (1984/12) Pp. 625-661

https://doi.org/10.1155/S0161171284000685

並列摘要

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.

並列關鍵字

Recuctive Perturbation Theory ； Dissipative Systems ； Invariant Monifolds ； Higher Order Corrections ； Contraction Mapping