Dynamical chaos in zero-dispersion nonlinear resonance.

Neiman, A. B. and Soskin, Stanislav M. and McClintock, Peter V. E. (1995) Dynamical chaos in zero-dispersion nonlinear resonance. In: Noise in Physical Systems and 1/f Noise. World Scientific, Singapore, pp. 701-704.

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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.

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09 Mar 2010 11:05
Last Modified:
21 Nov 2022 13:38