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Experimental studies of the non-adiabatic escape problem.

Research output: Contribution in Book/Report/ProceedingsChapter

Published

Publication date2000
Host publicationStochastic and Chaotic Dynamics in the Lakes
EditorsD. S. Broomhead, E. A. Luchinskaya, Peter V. E. McClintock, T. Mullin
Place of publicationMelville, NY
PublisherAmerican Institute of Physics
Pages20-25
Number of pages6
VolumeAIP Co
ISBN (Print)1-56396-915-7
Original languageEnglish

Abstract

Noise-induced transitions between coexisting stable states of a periodically driven nonlinear oscillator have been investigated by means of analog experiments and numerical simulations in the nonadiabatic limit for a wide range of oscillator parameters. It is shown that, for over-damped motion, the field-induced corrections to the activation energy can be described quantitatively in terms of the logarithmic susceptibility (LS) and that the measured frequency dispersion of the corresponding corrections for a weakly damped nonlinear oscillator is in qualitative agreement with the theoretical prediction. Resonantly directed diffusion is observed in numerical simulations of a weakly damped oscillator. The possibility of extending the LS approach to encompass escape from the basin of attraction of a quasi-attractor is discussed.

Bibliographic note

Proceedings of the Conference on Stochastic and Chaotic Dynamics (STOCHAOS), Ambleside, August, 1999.