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Reversible relative periodic orbits
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Lamb, Jeroen S.W. and Wulff, Claudia (2002) Reversible relative periodic orbits. Journal of Differential Equations, 178 (1). pp. 60-100. doi:10.1006/jdeq.2001.4004
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Official URL: http://dx.doi.org/10.1006/jdeq.2001.4004
Abstract
We study the bundle structure near reversible relative periodic orbits in reversible equivariant systems. In particular we show that the vector field on the bundle forms a skew product system, by which the study of bifurcation from reversible relative periodic solutions reduces to the analysis of bifurcation from reversible discrete rotating waves. We also discuss possibilities for drifts along group orbits. Our results extend those recently obtained in the equivariant context by B. Sandstede et al. (1999, J. Nonlinear Sci. 9, 439-478) and C. Wulff et al. (2001, Ergodic Theory Dynam. Systems 21, 605-635). © 2002 Elsevier Science.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | R Medicine > R Medicine (General) | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Differential Equations | ||||
| Publisher: | Academic Press | ||||
| ISSN: | 0022-0396 | ||||
| Official Date: | 1 January 2002 | ||||
| Dates: |
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| Volume: | 178 | ||||
| Number: | 1 | ||||
| Page Range: | pp. 60-100 | ||||
| DOI: | 10.1006/jdeq.2001.4004 | ||||
| Status: | Not Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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