The effect of noise on the period-doubling scenario in Hamiltonian systems is considered. The escape time from islands is found to exhibit asymptotically universal scaling. With use of renormalization theory, it is shown that there is a universal noise distribution and a scale factor associated with it, responsible for self-similarity with noise. The fast transport within chaotic regions enhances diffusion, which obeys an anomalous power law.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics