Reversible Relative Periodic Orbits
Copyright policy )Reversible Relative Periodic Orbits
The aim of this paper is to extend recently obtained results [\textit{B. Sandstede}, \textit{A. Scheel} and \textit{C. Wulff}, J. Nonlinear Sci. 9, 349--378 (1999; Zbl 0951.35014); \textit{C. Wulff}, \textit{J. S. W. Lamb} and \textit{I. Melbourne}, Ergodic Theory Dyn. Syst. 21, 605--635 (2001; Zbl 0986.37044)] on the bundle structure near relative periodic orbits (RPOs) in equivariant dynamical systems to reversible equivariant dynamical systems. In bundle coordinates the study of bifurcations from reversible RPOs reduces to the study of bifurcations from reversible discrete rotating waves [\textit{J. S. W. Lamb} and \textit{I. Melbourne}, Arch. Ration. Mech. Anal. 149, 229--270 (1999; Zbl 0934.37022)], which in turn reduces to the study of bifurcations from equivariant equilibria [\textit{J. S. W. Lamb}, \textit{I. Melbourne} and \textit{C. Wulff}, J. Differ. Equations 191, 377--407 (2003; Zbl 1070.37034)].
- Freie Universität Berlin Germany
- University of Surrey United Kingdom
- Imperial College London United Kingdom
- University of Warwick United Kingdom
- Imperial College United Kingdom
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, Dynamical aspects of symmetries, equivariant bifurcation theory, bundle coordinates, Periodic orbits of vector fields and flows, Symmetries, equivariant dynamical systems, bundle structure, Analysis
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, Dynamical aspects of symmetries, equivariant bifurcation theory, bundle coordinates, Periodic orbits of vector fields and flows, Symmetries, equivariant dynamical systems, bundle structure, Analysis
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