Invariant curves near Hamiltonian Hopf bifurcations of D symplectic maps
نویسنده
چکیده
In this paper we give a numerical description of the neighbourhood of a xed point of a symplectic map undergoing a transition from linear stability to complex instability i e the so called Hamiltonian Hopf bifurcation We have considered both the direct and inverse cases The study is based on the numerical computation of the Lyapunov families of invariant curves near the xed point We show how these families jointly with their invariant manifolds and the invariant manifolds of the xed point organise the phase space around the bifurcation
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