Numerical Exploration of Bifurcation Phenomena Associated with Complex Instability
Numerical Exploration of Bifurcation Phenomena Associated with Complex Instability
The Hopf-like bifurcation associated with 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 …