Hamiltonian Hopf Bifurcation with Symmetry
Copyright policy )Hamiltonian Hopf Bifurcation with Symmetry
In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf bifurcation processes in the presence of compact symmetry groups that do not generically exist in the dissipative framework. The theoretical study is illustrated with several examples.
35 pages, 3 figures
- University of California System United States
- University of California, Santa Cruz United States
- École Polytechnique Fédérale de Lausanne EPFL Switzerland
- French National Centre for Scientific Research France
- Centre national de la recherche scientifique France
37G40, 70H05;37J15;37G40, 70H05, Dynamical Systems (math.DS), Dynamical aspects of symmetries, equivariant bifurcation theory, Mathematics - Symplectic Geometry, 37J15, FOS: Mathematics, Symplectic Geometry (math.SG), Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems, Symmetries, invariants, invariant manifolds, momentum maps, reduction, Mathematics - Dynamical Systems
37G40, 70H05;37J15;37G40, 70H05, Dynamical Systems (math.DS), Dynamical aspects of symmetries, equivariant bifurcation theory, Mathematics - Symplectic Geometry, 37J15, FOS: Mathematics, Symplectic Geometry (math.SG), Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems, Symmetries, invariants, invariant manifolds, momentum maps, reduction, Mathematics - Dynamical Systems
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