Destabilization of islands in noisy Hamiltonian systems

G. Györgyi, Naftali Tishby

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)4957-4967
Number of pages11
JournalPhysical Review A
Volume36
Issue number10
DOIs
Publication statusPublished - 1987

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destabilization
period doubling
escape
scaling

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Destabilization of islands in noisy Hamiltonian systems. / Györgyi, G.; Tishby, Naftali.

In: Physical Review A, Vol. 36, No. 10, 1987, p. 4957-4967.

Research output: Contribution to journalArticle

Györgyi, G. ; Tishby, Naftali. / Destabilization of islands in noisy Hamiltonian systems. In: Physical Review A. 1987 ; Vol. 36, No. 10. pp. 4957-4967.
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