Scaling Behavior of Transition to Chaos in Quasiperiodically Driven Dynamical Systems

A route to chaos in quasiperiodically driven dynamical systems is investigated whereby the Lyapunov exponent passes through zero linearly near the transition. A dynamical consequence is that, after the transition, the collective behavior of an ensemble of trajectories on the chaotic attractor exhibits and extreme type of intermittency. The scaling behavior of various measurable quantities near the transition is examined.