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

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  • Hedley C. Morris
  • Derek Sheil
  • Roger Dodd

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.

Suggested Citation

  • Hedley C. Morris & Derek Sheil & Roger Dodd, 1984. "Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 7, pages 1-37, January.
    • Handle: RePEc:hin:jijmms:591875
    DOI: 10.1155/S0161171284000685
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