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Phase diagram for the collective behavior of limit-cycle oscillators
Abstract
We analyze a large dynamical system of limit-cycle oscillators with mean-field coupling and randomly distributed natural frequencies. Depending on the choice of coupling strength and the spread of natural frequencies, the system exhibits frequency locking, amplitude death, and incoherence, as well as novel unsteady behavior characterized by periodic, quasiperiodic, or chaotic evolution of the system's order parameter. The phase boundaries between several of these states are obtained analytically.
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Citations
Cited by
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Amplitude death: The emergence of stationarity in coupled nonlinear systems
Saxena, G., Prasad, A., & Ramaswamy, R. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.09.003 · Cited by 375
Synchronization and computation in a chaotic neural network
Hansel, D., & Sompolinsky, H. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.718 · Cited by 332
Metadata
- Authors
- Matthews, P. C., & Strogatz, S. H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1990-10-01
- Volume
- 65
- Issue
- 14
- Pages
- 1701-1704
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2037472915
- Cited by
- 279
- References
- 0
- FWCI
- 15.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Phase diagram for the collective behavior of limit-cycle oscillators. https://app.cochat.ai/papers/10.1103/physrevlett.65.1701
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- Matthews, P. C., & Strogatz, S. H. (1990). Phase diagram for the collective behavior of limit-cycle oscillators. Physical Review Letters. https://doi.org/10.1103/physrevlett.65.1701
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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