Chaos via quasiperiodicity: Universal scaling laws in the chaotic regime.

The chaotic regime of systems which go to chaos via quasiperiodicity is studied, with the aim of establishing universal scaling laws for the invariants like the Lyapunov exponents, fractal dimensions, etc. Despite the complicated interventions of periodic windows, the envelopes of these quantities appear to agree extremely well with the theoretical predictions. This agreement is tied to the smooth development of the underlying invariant manifold.