Oscillatory Behavior of the Rate of Escape through an Unstable Limit Cycle.

Suppose a two-dimensional dynamical system has a stable attractor that is surrounded by an unstable limit cycle. If the system is additively perturbed by white noise, the rate of escape through the limit cycle will fall off exponentially as the noise strength. The presence of this slowly oscillating factor is due to the nonequilibrium potential of the system being nondifferentiable at the limit cycle. We point out the implications for the weak-noise limit of stochastic resonance models.

• Publication year

  1996

• Venue

  Physical Review Letters

• Publication date

  1996-09-08

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.77.4860arXiv cond-mat/9609075PMID 10062653
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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