Numerical Study of a Three-Dimensional Hénon Map

We consider a three-dimensional generalization of the two-dimensional Hénon map. We first investigate the emergence of quasiperiodic states, as a result of Naimark–Sacker bifurcations of period-1 and period-2 orbits. Secondly we investigate the disappearance of the resonance torus in the transition from quasiperiodicity to chaos.