dorsal/arxiv
View SchemaBreaking the symmetry in bimodal frequency distributions of globally coupled oscillators
| Authors | J. A. Acebron, L. L. Bonilla, S. De Leo, R. Spigler |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9707003 |
| URL | https://arxiv.org/abs/patt-sol/9707003 |
| DOI | 10.1103/PhysRevE.57.5287 |
Abstract
The mean-field Kuramoto model for synchronization of phase oscillators with an asymmetric bimodal frequency distribution is analyzed. Breaking the reflection symmetry facilitates oscillator synchronization to rotating wave phases. Numerical simulations support the results based of bifurcation theory and high-frequency calculations. In the latter case, the order parameter is a linear superposition of parameters corresponding to rotating and counterrotating phases.
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"date_created": "2026-03-02T18:00:29.282000Z",
"date_modified": "2026-03-02T18:00:29.282000Z",
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"abstract": "The mean-field Kuramoto model for synchronization of phase oscillators with\nan asymmetric bimodal frequency distribution is analyzed. Breaking the\nreflection symmetry facilitates oscillator synchronization to rotating wave\nphases. Numerical simulations support the results based of bifurcation theory\nand high-frequency calculations. In the latter case, the order parameter is a\nlinear superposition of parameters corresponding to rotating and\ncounterrotating phases.",
"arxiv_id": "patt-sol/9707003",
"authors": [
"J. A. Acebron",
"L. L. Bonilla",
"S. De Leo",
"R. Spigler"
],
"categories": [
"patt-sol",
"cond-mat.dis-nn",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.57.5287",
"title": "Breaking the symmetry in bimodal frequency distributions of globally coupled oscillators",
"url": "https://arxiv.org/abs/patt-sol/9707003"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
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