Stochastic postponement of critical onsets in a bistable system.

Physics

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

Published

Standard

Stochastic postponement of critical onsets in a bistable system. / McClintock, Peter V. E.; Moss, F.
Noise in Physical Systems and 1/f Noise - 1985. ed. / A. D'Amico; P. Mazzetti. Amsterdam: Elsevier, 1986. p. 137-140.

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

Harvard

McClintock, PVE & Moss, F 1986, Stochastic postponement of critical onsets in a bistable system. in A D'Amico & P Mazzetti (eds), Noise in Physical Systems and 1/f Noise - 1985. Elsevier, Amsterdam, pp. 137-140.

APA

McClintock, P. V. E., & Moss, F. (1986). Stochastic postponement of critical onsets in a bistable system. In A. D'Amico, & P. Mazzetti (Eds.), Noise in Physical Systems and 1/f Noise - 1985 (pp. 137-140). Elsevier.

Vancouver

McClintock PVE, Moss F. Stochastic postponement of critical onsets in a bistable system. In D'Amico A, Mazzetti P, editors, Noise in Physical Systems and 1/f Noise - 1985. Amsterdam: Elsevier. 1986. p. 137-140

Author

McClintock, Peter V. E. ; Moss, F. / Stochastic postponement of critical onsets in a bistable system. Noise in Physical Systems and 1/f Noise - 1985. editor / A. D'Amico ; P. Mazzetti. Amsterdam : Elsevier, 1986. pp. 137-140

Bibtex

@inbook{867c9cff8f4d45ec91c085d087224813,

title = "Stochastic postponement of critical onsets in a bistable system.",

abstract = "We report the results of an experimental investigation of the effect of external, multiplicative, bandwidth-limited, white noise upon a cubic nonlinear electronic circuit modelling dx/dt = f(x,t) which exhibits bistability within a certain range of a control parameter A. Measurements of the statistical density of x are found to be in excellent agreement with theoretical predictions based on the use of the Stratonovic stochastic calculus for integration of the stochastic differential equation. In addition, we have observed pronounced stochastic shifts of the region of bistability towards larger values of A. These shifts are found to be in gratifyingly good agreement with the theoretical prediction. Thus, although an unambiguous demonstration of stochastic postponement in a natural system has yet to be achieved, the reality of this remarkable phenomenon in relation to physical systems is no longer open to doubt.",

author = "McClintock, {Peter V. E.} and F. Moss",

note = "Proceedings of the International Conference on Noise in Physical Systems and 1/f Noise, Rome, 1985.",

year = "1986",

language = "English",

pages = "137--140",

editor = "A. D'Amico and P. Mazzetti",

booktitle = "Noise in Physical Systems and 1/f Noise - 1985",

publisher = "Elsevier",

}

RIS

TY - CHAP

T1 - Stochastic postponement of critical onsets in a bistable system.

AU - McClintock, Peter V. E.

AU - Moss, F.

N1 - Proceedings of the International Conference on Noise in Physical Systems and 1/f Noise, Rome, 1985.

PY - 1986

Y1 - 1986

N2 - We report the results of an experimental investigation of the effect of external, multiplicative, bandwidth-limited, white noise upon a cubic nonlinear electronic circuit modelling dx/dt = f(x,t) which exhibits bistability within a certain range of a control parameter A. Measurements of the statistical density of x are found to be in excellent agreement with theoretical predictions based on the use of the Stratonovic stochastic calculus for integration of the stochastic differential equation. In addition, we have observed pronounced stochastic shifts of the region of bistability towards larger values of A. These shifts are found to be in gratifyingly good agreement with the theoretical prediction. Thus, although an unambiguous demonstration of stochastic postponement in a natural system has yet to be achieved, the reality of this remarkable phenomenon in relation to physical systems is no longer open to doubt.

AB - We report the results of an experimental investigation of the effect of external, multiplicative, bandwidth-limited, white noise upon a cubic nonlinear electronic circuit modelling dx/dt = f(x,t) which exhibits bistability within a certain range of a control parameter A. Measurements of the statistical density of x are found to be in excellent agreement with theoretical predictions based on the use of the Stratonovic stochastic calculus for integration of the stochastic differential equation. In addition, we have observed pronounced stochastic shifts of the region of bistability towards larger values of A. These shifts are found to be in gratifyingly good agreement with the theoretical prediction. Thus, although an unambiguous demonstration of stochastic postponement in a natural system has yet to be achieved, the reality of this remarkable phenomenon in relation to physical systems is no longer open to doubt.

M3 - Chapter

SP - 137

EP - 140

BT - Noise in Physical Systems and 1/f Noise - 1985

A2 - D'Amico, A.

A2 - Mazzetti, P.

PB - Elsevier

CY - Amsterdam

ER -

Research