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Experimental studies of the non-adiabatic escape problem

Research output: Contribution to journalJournal article

Published

<mark>Journal publication date</mark>2000
<mark>Journal</mark>AIP Conference Proceedings
Volume502
Number of pages6
Pages20-25
<mark>Original language</mark>English

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

Copyright 2000 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Conference Proceedings, 502, 2000 and may be found at http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.1302361 Proceedings of the Conference on Stochastic and Chaotic Dynamics (STOCHAOS), Ambleside, August, 1999.