Switching Exponent Scaling near Bifurcation Points for Non-Gaussian Noise

Abstract

We study noise-induced switching of a system close to bifurcation parameter values where the number of stable states changes. For non-Gaussian noise, the switching exponent, which gives the logarithm of the switching rate, displays a non-power-law dependence on the distance to the bifurcation point. This dependence is found for Poisson noise. Even weak additional Gaussian noise dominates switching sufficiently close to the bifurcation point, leading to a crossover in the behavior of the switching exponent.

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Document Details

Document Type
Technical Report
Publication Date
Apr 07, 2010
Accession Number
ADA546216

Entities

People

  • A. N. Korotkov
  • Ira B. Schwartz
  • Lora Billings
  • M. I. Dykman
  • Marie Mccrary

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Electrical Engineering
  • Equations
  • Fokker Planck Equations
  • Frequency
  • Gaussian Noise
  • Josephson Junctions
  • Military Research
  • New York
  • Noise
  • Path Integrals
  • Physics
  • Probability
  • Probability Distributions
  • Quantum Mechanics
  • Simulations
  • Stochastic Processes
  • Switching

Fields of Study

  • Computer science

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering
  • Statistical inference.