Campus Units

Mathematics

Document Type

Article

Publication Version

Published Version

Publication Date

1990

Journal or Book Title

Royal Society of Edinburgh

Volume

116

Issue

1-2

First Page

1

Last Page

22

DOI

10.1017/S0308210500031358

Abstract

Leading order approximations are given by a patching method for passage through resonance in the case when the resonance zone contains saddle points. The approximations are uniformly valid regardless of the length of time required to pass through the resonance. Accuracy for extended time periods is obtained by asking not for approximate solutions with specified initial values, but for approximate solutions which are "shadowed" by exact solutions in the resonance zone.

Comments

This article is published as A Shadowing Approach to Passage Through Resonance, Proceedings of the Royal Society of Edinburgh 116A, 1990, 1-22 and also in New Directions in Differential Equations and Dynamical Systems, ed. J. M. Ball, Royal Society of Edinburgh, 1991. doi:10.1017/S0308210500031358. Posted with permission.

Copyright Owner

Royal Society of Edinburgh

Language

en

File Format

application/pdf

Included in

Mathematics Commons

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