Switching exponent scaling near bifurcation points for non-gaussian noise

Lora Billings, Ira B. Schwartz, Marie McCrary, A. N. Korotkov, M. I. Dykman

Research output: Contribution to journalArticleResearchpeer-review

16 Citations (Scopus)

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.

Original languageEnglish
Article number140601
JournalPhysical Review Letters
Volume104
Issue number14
DOIs
StatePublished - 7 Apr 2010

Fingerprint

exponents
scaling
random noise
logarithms
crossovers

Cite this

Billings, Lora ; Schwartz, Ira B. ; McCrary, Marie ; Korotkov, A. N. ; Dykman, M. I. / Switching exponent scaling near bifurcation points for non-gaussian noise. In: Physical Review Letters. 2010 ; Vol. 104, No. 14.
@article{aed5cc35a5ff4e9c9344e21e4bf06291,
title = "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.",
author = "Lora Billings and Schwartz, {Ira B.} and Marie McCrary and Korotkov, {A. N.} and Dykman, {M. I.}",
year = "2010",
month = "4",
day = "7",
doi = "10.1103/PhysRevLett.104.140601",
language = "English",
volume = "104",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "14",

}

Switching exponent scaling near bifurcation points for non-gaussian noise. / Billings, Lora; Schwartz, Ira B.; McCrary, Marie; Korotkov, A. N.; Dykman, M. I.

In: Physical Review Letters, Vol. 104, No. 14, 140601, 07.04.2010.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Switching exponent scaling near bifurcation points for non-gaussian noise

AU - Billings, Lora

AU - Schwartz, Ira B.

AU - McCrary, Marie

AU - Korotkov, A. N.

AU - Dykman, M. I.

PY - 2010/4/7

Y1 - 2010/4/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77950673534&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.104.140601

DO - 10.1103/PhysRevLett.104.140601

M3 - Article

VL - 104

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 14

M1 - 140601

ER -