dorsal/arxiv
View SchemaTime-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions
| Authors | L. L. Bonilla, C. J. Perez Vicente, R. Spigler |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9706005 |
| URL | https://arxiv.org/abs/patt-sol/9706005 |
| DOI | 10.1016/S0167-2789(97)00187-5 |
Abstract
The mean field Kuramoto model describing the synchronization of a population of phase oscillators with a bimodal frequency distribution is analyzed (by the method of multiple scales) near regions in its phase diagram corresponding to synchronization to phases with a time periodic order parameter. The richest behavior is found near the tricritical point were the incoherent, stationarily synchronized, ``traveling wave'' and ``standing wave'' phases coexist. The behavior near the tricritical point can be extrapolated to the rest of the phase diagram. Direct Brownian simulation of the model confirms our findings.
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"date_created": "2026-03-02T18:00:29.279000Z",
"date_modified": "2026-03-02T18:00:29.279000Z",
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"abstract": "The mean field Kuramoto model describing the synchronization of a population\nof phase oscillators with a bimodal frequency distribution is analyzed (by the\nmethod of multiple scales) near regions in its phase diagram corresponding to\nsynchronization to phases with a time periodic order parameter. The richest\nbehavior is found near the tricritical point were the incoherent, stationarily\nsynchronized, ``traveling wave\u0027\u0027 and ``standing wave\u0027\u0027 phases coexist. The\nbehavior near the tricritical point can be extrapolated to the rest of the\nphase diagram. Direct Brownian simulation of the model confirms our findings.",
"arxiv_id": "patt-sol/9706005",
"authors": [
"L. L. Bonilla",
"C. J. Perez Vicente",
"R. Spigler"
],
"categories": [
"patt-sol",
"cond-mat.dis-nn",
"nlin.PS"
],
"doi": "10.1016/S0167-2789(97)00187-5",
"title": "Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions",
"url": "https://arxiv.org/abs/patt-sol/9706005"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9f01eebe-74c8-4c7e-8084-0546c7a388ac",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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