Numerical Exploration of Bifurcation Phenomena Associated to Complex Instability

Monday, September 15, 1997 - 2:00pm - 2:20pm
Keller 3-180
Merce Olle (E.T.S.E.I.B. Barcelona)
The Hopf-like bifurcation associated to the transition from stability to complex instability of a family of periodic orbits in a Hamiltonian system with three (or more) degrees of freedom is investigated. Numerical techniques to compute the bifurcating objects -periodic orbits, or, more generally, 2D isolated invariant tori- are presented. The evolution and the bifurcation of the 2D tori are described. As a model problem, we consider two 4D symplectic mappings, and, as an application, we give some results for a galactic potential.