Periodically forced Fokker-Planck equation and stochastic resonance

Hu Gang, G. Nicolis, and C. Nicolis
Phys. Rev. A 42, 2030 – Published 1 August 1990
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Abstract

The time-dependent solution of the periodically forced Fokker-Planck equation is determined, following an iteration procedure. The mixing property of the system is verified. The enhancements of the autocorrelation and the signal-to-noise ratio are distinguished and localized, in different noise strength regions. The conditions for the validity of the adiabatic approximation and the way to systematically improve the adiabatic result are clarified.

  • Received 9 January 1990

DOI:https://doi.org/10.1103/PhysRevA.42.2030

©1990 American Physical Society

Authors & Affiliations

Hu Gang

  • Center of Theoretical Physics, Chinese Center of Advanced Science Technology (World Laboratory),
  • Physics Department, Beijing Normal University, Beijing 100875, People’s Republic of China

G. Nicolis

  • Faculté de Sciences, Université Libre de Bruxelles, Campus Plaine, C.P. 231, 1050 Bruxelles, Belgium

C. Nicolis

  • Institut Royal Meteorological, 3 avenue Circulaire, 1180 Bruxelles, Belgium

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Vol. 42, Iss. 4 — August 1990

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