Preprint No. A-99-15

Jeroen S.W. Lamp, Claudia Wulff

Reversible Relative Periodic Orbits

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 Sandstede {\em et al.}~\cite{sandetal97} and Wulff {\em et al.}~\cite{WLM98}.

Mathematics Subject Classification (MSC91):

Language: ENG

Available: Pr-A-99-15.ps

Contact: Wulff, Claudia, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (wulff@math.fu-berlin.de)

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