Slow dynamics in systems driven by “green” noise

Guz, S. A.; Ruzavin, I. G.; Sviridov, M. V.
March 2000
AIP Conference Proceedings;2000, Vol. 511 Issue 1, p509
Academic Journal
The stochastic systems are considered in terms of the Brownian particle motion provided that external noise is a high-pass filtered stationary random process (“green” noise). The Krylov-Bogolubov averaging method is used for solving the problem. It is shown that metastable states with large lifetime are possible. Examples of a potential well and the resistively shunted Josephson junction model are considered. © 2000 American Institute of Physics.


Related Articles

  • Enhancing a period stochastic resonance through noise modulation. Chow, Carson C.; Imhoff, Thomas T.; Collins, J.J. // Chaos;Sep98, Vol. 8 Issue 3, p616 

    Examines the development of an optimal noise-based technique for enhancing aperiodic stochastic resonance (ASR). States of ASR enhancement; Enhancement of SR dynamically by modulating the input noise intensity with the input signal or with the output rate through feedback; Time delays in the...

  • Knowing when to stop: How noise frees us from determinism. Cvitanovic, Predrag; Lippolis, Domenico // AIP Conference Proceedings;8/28/20102, Vol. 1468 Issue 1, p82 

    Deterministic chaotic dynamics presumes that the state space can be partitioned arbitrarily finely. In a physical system, the inevitable presence of some noise sets a finite limit to the finest possible resolution that can be attained. Much previous research deals with what this attainable...

  • Temperature-dependent stochastic dynamics of the Huber-Braun neuron model. Finke, Christian; Freund, Jan A.; Rosa, Epaminondas; Bryant, Paul H.; Braun, Hans A.; Feudel, Ulrike // Chaos;Dec2011, Vol. 21 Issue 4, p047510 

    The response of a four-dimensional mammalian cold receptor model to different implementations of noise is studied across a wide temperature range. It is observed that for noisy activation kinetics, the parameter range decomposes into two regions in which the system reacts qualitatively...

  • Periodically driven noisy nonlinear physical systems. Agudov, N. V.; Spagnolo, B. // AIP Conference Proceedings;2000, Vol. 513 Issue 1, p11 

    Noise-induced nonequilibrium phenomena in nonlinear systems have recently attracted a great deal of attention in a variety of contexts. Noise can induce a number of interesting phenomena in periodically driven nonlinear dynamical systems, such as stochastic resonance (SR) and noise-enhanced...

  • On the spectral gap of Kawasaki dynamics under a mixing condition revisited. Cancrini, N.; Martinelli, F.; Scoppola, E. // Journal of Mathematical Physics;Mar2000, Vol. 41 Issue 3 

    We consider a conservative stochastic spin exchange dynamics which is reversible with respect to the canonical Gibbs measure of a lattice gas model. We assume that the corresponding grand canonical measure satisfies a suitable strong mixing condition. We give an alternative and quite natural,...

  • Macrostates of classical stochastic systems. Shalloway, David // Journal of Chemical Physics;12/8/1996, Vol. 105 Issue 22, p9986 

    The thermodynamic and dynamic properties of a stochastic system can be determined from the underlying microscopic description once appropriate macroscopic states (‘‘macrostates’’) have been identified. Macrostates correspond to temperature-dependent regions of...

  • Linear Stochastic Systems: A White Noise Approach. Alpay, Daniel; Levanony, David // Acta Applicandae Mathematica;May2010, Vol. 110 Issue 2, p545 

    Using the white noise setting, in particular the Wick product, the Hermite transform, and the Kondratiev space, we present a new approach to study linear stochastic systems, where randomness is also included in the transfer function. We prove BIBO type stability theorems for these systems, both...

  • Hypersensitivity of a nonlinear system with multiplicative colored noise to an external periodic signal. Ginzburg, S. L.; Pustovoit, M. A. // Journal of Experimental & Theoretical Physics;Oct99, Vol. 89 Issue 4, p801 

    A simple nonlinear stochastic system, an overdamped Kramers oscillator with multiplicative colored noise, is studied analytically and by numerical simulation. It is shown that in the region where on-off intermittency occurs, the system becomes hypersensitive to weak external periodic signals.

  • Overview: The constructive role of noise in fluctuation driven transport and scholastic resonance. Astumian, R. Dean; Moss, Frank // Chaos;Sep98, Vol. 8 Issue 3, p533 

    Studies the constructive role of noise in fluctuation driven transport and stochastic resonance. Mechanism by which noise and Brownian motion can facilitate transmission of information and help systems use chemical energy and nonequilibrium fluctuations to drive directed motion via a...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics