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Coherence Resonance in a Noise-Driven Excitable System
Abstract
We study the dynamics of the excitable Fitz Hugh--Nagumo system under external noisy driving. Noise activates the system producing a sequence of pulses. The coherence of these noise-induced oscillations is shown to be maximal for a certain noise amplitude. This new effect of coherence resonance is explained by different noise dependencies of the activation and the excursion times. A simple one-dimensional model based on the Langevin dynamics is proposed for the quantitative description of this phenomenon.
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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
Complex networks: structure and dynamics
BOCCALETTI, S., LATORA, V, MORENO, Y., CHAVEZ, M., & HWANG, D. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.10.009 · Cited by 11,010
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
Self-citationWhat Is Stochastic Resonance? Definitions, Misconceptions, Debates, and Its Relevance to Biology
McDonnell, M. D., & Abbott, D. (2009) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000348 · Cited by 774
The benefits of noise in neural systems: bridging theory and experiment
McDonnell, M. D., & Ward, L. M. (2011) · Nature Reviews Neuroscience · doi:10.1038/nrn3061 · Cited by 772
Mechanisms of noise-resistance in genetic oscillators.
Vilar, J. M. G., Kueh, H. Y., Barkai, N., & Leibler, S. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.092133899 · Cited by 595
Metadata
- Authors
- Pikovsky, A. S., & Kurths, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1997-02-03
- Volume
- 78
- Issue
- 5
- Pages
- 775-778
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2080041388
- Cited by
- 1,719
- References
- 1
- FWCI
- 15.30
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
