Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2010
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| _version_ | 1866911394166734848 |
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| author | Sethia, Gautam C Sen, Abhijit Atay, Fatihcan M. |
| author_facet | Sethia, Gautam C Sen, Abhijit Atay, Fatihcan M. |
| contents | We study the existence and stability of synchronous solutions in a continuum field of non-locally coupled identical phase oscillators with distance-dependent propagation delays. We present a comprehensive stability diagram in the parameter space of the system. From the numerical results a heuristic synchronization condition is suggested, and an analytic relation for the marginal stability curve is obtained. We also provide an expression in the form of a scaling relation that closely follows the marginal stability curve over the complete range of the non-locality parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1003_5079 |
| institution | arXiv |
| publishDate | 2010 |
| record_format | arxiv |
| spellingShingle | Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays Sethia, Gautam C Sen, Abhijit Atay, Fatihcan M. Adaptation and Self-Organizing Systems We study the existence and stability of synchronous solutions in a continuum field of non-locally coupled identical phase oscillators with distance-dependent propagation delays. We present a comprehensive stability diagram in the parameter space of the system. From the numerical results a heuristic synchronization condition is suggested, and an analytic relation for the marginal stability curve is obtained. We also provide an expression in the form of a scaling relation that closely follows the marginal stability curve over the complete range of the non-locality parameter. |
| title | Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays |
| topic | Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/1003.5079 |