Zero-Dispersion Nonlinear Resonance in Dissipative Systems

D. G. Luchinsky, P. V. E. McClintock, S. M. Soskin, and R. Mannella
Phys. Rev. Lett. 76, 4453 – Published 10 June 1996
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Abstract

It is shown theoretically and by analog electronic experiment that, in dissipative oscillatory systems for which the frequency of eigenoscillation displays an extremum as a function of energy, the dynamics of nonlinear resonance can differ markedly from the conventional case. Transitions between the conventional and novel types of nonlinear resonance, as parameters vary, correspond to changes in the topology of basins of attraction. With added noise, they can result in drastic changes in fluctuational transition rates between small- and large-amplitude regimes.

  • Received 21 July 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.4453

©1996 American Physical Society

Authors & Affiliations

D. G. Luchinsky, P. V. E. McClintock, and S. M. Soskin

  • School of Physics and Chemistry, Lancaster University, Lancaster, LA1 4YB, United Kingdom

R. Mannella

  • Dipartimento di Fisica, Università di Pisa, 56100 Pisa, Italy

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Vol. 76, Iss. 24 — 10 June 1996

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