THE QUASI-PERIODIC REVERSIBLE HOPF BIFURCATION

DOI10.1142/S021812740701866XzbMath1141.37342MaRDI QIDQ3511073

Henk W. Broer, Heinz Hanßmann, Maria-Christina Ciocci

Publication date: 4 July 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (18)

Umbilical torus bifurcations in Hamiltonian systems ⋮ A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems ⋮ On the persistence of degenerate lower-dimensional tori in reversible systems ⋮ Non-Floquet invariant tori in reversible systems ⋮ Response solutions for degenerate reversible harmonic oscillators with zero-average perturbation ⋮ The reversible context 2 in KAM theory: the first steps ⋮ Quasi-periodic bifurcations in reversible systems ⋮ Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems ⋮ Quasi-periodic perturbations within the reversible context 2 in KAM theory ⋮ Non-degeneracy conditions in KAM theory ⋮ Degenerate lower dimensional tori in reversible systems ⋮ A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems ⋮ Coexistence of Hamiltonian-Like and Dissipative Dynamics in Rings of Coupled Phase Oscillators with Skew-Symmetric Coupling ⋮ Quasi-periodic stability of normally resonant tori ⋮ Normal forms for almost periodic differential systems ⋮ On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations ⋮ Completely degenerate lower-dimensional invariant tori in reversible systems ⋮ On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems

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