The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation

  title={The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation},
  author={M.Katsanikas and P.A.Patsis and G.Contopoulos},
We study the orbital behavior at the neighborhood of complex unstable periodic orbits in a 3D autonomous Hamiltonian system of galactic type. At a transition of a family of periodic orbits from stability to complex instability (also known as Hamiltonian Hopf Bifurcation) the four eigenvalues of the stable periodic orbits move out of the unit circle. Then the periodic orbits become complex unstable. In this paper we first integrate initial conditions close to the ones of a complex unstable… Expand
2 Citations
Chaoticity in the vicinity of complex unstable periodic orbits in galactic type potentials
aResearch Center for Astronomy, Academy of Athens, Soranou Efessiou 4, 115 27 Athens, Greece bLaboratoire de Physique Théorique et Modélisation, CY Cergy Paris Université, CNRS, UMR 8089, 95302Expand
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