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Stochastic resonance without external periodic force
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.
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Citations
Cites
Reaction-rate theory: fifty years after Kramers
Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154
Cited by
Gammaitoni, L., Hänggi, P., Jung, P., & Marchesoni, F. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.223 · Cited by 5,443
The synchronization of chaotic systems
Boccaletti, S., Kurths, J., Osipov, G., Valladares, D. L., & Zhou, C. S. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00137-0 · Cited by 2,764
Fast Response and Temporal Coherent Oscillations in Small-World Networks
Lago-Fernández, L. F., Huerta, R., Corbacho, F., & Sigüenza, J. A. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.2758 · Cited by 573
Spatiotemporal order out of noise
Sagués, F., Sancho, J. M., & García-Ojalvo, J. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.829 · Cited by 473
Wellens, T., Shatokhin, V., & Buchleitner, A. (2004) · Reports on Progress in Physics · doi:10.1088/0034-4885/67/1/r02 · Cited by 396
Metadata
- Authors
- Gang, H., Ditzinger, T., Ning, C. Z., & Haken, H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1993-08-09
- Volume
- 71
- Issue
- 6
- Pages
- 807-810
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2001760474
- Cited by
- 774
- References
- 1
- FWCI
- 3.67
- Type
- journal article
- Language
- en
- Open access
- closed
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- Gang, H., Ditzinger, T., Ning, C. Z., & Haken, H. (1993). Stochastic resonance without external periodic force. Physical Review Letters. https://doi.org/10.1103/physrevlett.71.807
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.