Stochastic resonance via switching between the two stable limit cycles on a cylinder

Min Qian and Xue-Juan Zhang
Phys. Rev. E 65, 011101 – Published 4 December 2001
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Abstract

This paper deals with the determination of stochastic resonance (SR) in a driven bistable potential based on an embedding-based description in terms of an autonomous system of stochastic equations. It points out a criterion for SR on the basis of the relative position of limit cycles of the deterministic system.

  • Received 21 February 2001

DOI:https://doi.org/10.1103/PhysRevE.65.011101

©2001 American Physical Society

Authors & Affiliations

Min Qian1,2 and Xue-Juan Zhang1,3,*

  • 1School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
  • 2Center of Nonlinear Sciences, Peking University, Beijing 100871, People’s Republic of China
  • 3Shaoxing College of Arts and Sciences, Zhejiang Province 31200, People’s Republic of China

  • *Email address: zxjsx@263.net

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Vol. 65, Iss. 1 — January 2002

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