When time delays and phase lags are not the same: higher-order phase reduction unravels delay-induced synchronization in oscillator networks
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929317195284480 |
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| author | Bick, Christian Rink, Bob de Wolff, Babette A. J. |
| author_facet | Bick, Christian Rink, Bob de Wolff, Babette A. J. |
| contents | Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional phase oscillator networks allow for their explicit analysis. However, first-order phase reductions - where delays correspond to phase lags - fail to capture the delay-dependence of synchronization. We develop a systematic approach to derive phase reductions for delay-coupled oscillators to arbitrary order. Already the second-order reduction can predict delay-dependent (bi-)stability of synchronized states as demonstrated for Stuart-Landau oscillators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11340 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | When time delays and phase lags are not the same: higher-order phase reduction unravels delay-induced synchronization in oscillator networks Bick, Christian Rink, Bob de Wolff, Babette A. J. Dynamical Systems Adaptation and Self-Organizing Systems Chaotic Dynamics Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional phase oscillator networks allow for their explicit analysis. However, first-order phase reductions - where delays correspond to phase lags - fail to capture the delay-dependence of synchronization. We develop a systematic approach to derive phase reductions for delay-coupled oscillators to arbitrary order. Already the second-order reduction can predict delay-dependent (bi-)stability of synchronized states as demonstrated for Stuart-Landau oscillators. |
| title | When time delays and phase lags are not the same: higher-order phase reduction unravels delay-induced synchronization in oscillator networks |
| topic | Dynamical Systems Adaptation and Self-Organizing Systems Chaotic Dynamics |
| url | https://arxiv.org/abs/2404.11340 |