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Dynamical chaos in zero-dispersion nonlinear resonance.

Research output: Contribution in Book/Report/ProceedingsChapter

Published

Publication date1995
Host publicationNoise in Physical Systems and 1/f Noise
EditorsV. Bareikis, R. Katilius
Place of publicationSingapore
PublisherWorld Scientific
Pages701-704
Number of pages4
Original languageEnglish

Abstract

We investigate stochasticity in a periodically driven oscillator for which the dependence of the frequency of eigenoscillations on their energy has an extremum. The structure of stochastic layers is shown to be different from the case of conventional nonlinear resonance. It is also shown that the Chirikov resonance-overlap criterion does not work at small enough amplitudes of the driving force: the transition to global chaos takes place at much bigger amplitudes.