Stochastic resonance without external periodic force
- 9 August 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (6) , 807-810
- https://doi.org/10.1103/physrevlett.71.807
Abstract
A model of a two-dimensional autonomous system subject to external noise is investigated. Without noise the system has a stable limit cycle in a certain region of control parameter. Various noise-induced effects have been found numerically, such as a noise-induced frequency shift in the presence of the deterministic limit cycle, and noise-induced coherent oscillations in the absence of the deterministic limit cycle. An interesting result is that the stochastic resonance phenomenon appears in a system without an external signal and when the asymptotic state of the deterministic system is stationary.Keywords
This publication has 24 references indexed in Scilit:
- Transition rates in a stochastic mediumPhysical Review A, 1992
- Phase Shifts in Stochastic ResonancePhysical Review Letters, 1992
- Comparison of analog simulation of stochastic resonance with adiabatic theoryPhysical Review A, 1991
- Two kinds of singularities in planar differential systems and the response to external forcesPhysical Review A, 1990
- Periodically forced Fokker-Planck equation and stochastic resonancePhysical Review A, 1990
- Stochastically induced coherence in bistable systemsPhysical Review Letters, 1990
- Reaction-rate theory: fifty years after KramersReviews of Modern Physics, 1990
- Stochastic resonance in a double wellPhysical Review A, 1989
- Postponement of Hopf bifurcations by multiplicative colored noisePhysical Review A, 1987
- The mechanism of stochastic resonanceJournal of Physics A: General Physics, 1981