A Study of the Rimmer Bifurcation of Symmetric Fixed Points of Reversible Diffeomorphisms
نویسنده
چکیده
We prove that the study of Rimmer bifurcation of symmetric fixed points in two–dimensional discrete reversible dynamical systems can be achieved analysing either bifurcation of critical points of a symmetric Hamiltonian function or the bifurcation of symmetric equilibrium points for a nonconservative reversible vector field. We give the normal forms for generating functions of area preserving reversible diffeomorphisms and the normal forms for nonconservative reversible vector fields associated to Rimmer bifurcation. Mathematics Subject Classification: 58F14
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