UNSPECIFIED. (2002) Reversible relative periodic orbits. JOURNAL OF DIFFERENTIAL EQUATIONS, 178 (1). pp. 60-100. ISSN 0022-0396

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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). (C) 2002 Elsevier Science.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	JOURNAL OF DIFFERENTIAL EQUATIONS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN:	0022-0396
Date:	1 January 2002
Volume:	178
Number:	1
Number of Pages:	41
Page Range:	pp. 60-100
Identification Number:	10.1006/jdeq.2001.4004
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/11304

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