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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2505.21088 |
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| _version_ | 1866908381374054400 |
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| author | Pallab, Navojit Dhali |
| author_facet | Pallab, Navojit Dhali |
| contents | This paper investigates synchronization phenomena in networks of coupled oscillators governed by three-time-scale dynamical systems exhibiting canard dynamics. A mathematical framework has been developed to analyze the synchronization of fast variables across heterogeneous systems, deriving a sufficient condition for the synchronization error to fall below a specified threshold within the minimum linger time. This condition accounts for coupling strength, heterogeneity, and time-scale separation, ensuring stable oscillatory behavior in the network. The result, supported by rigorous mathematical analysis, advances the understanding of synchronization in complex multi-time-scale systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_21088 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Synchronization Phenomenon in Three-Time-Scale Systems Pallab, Navojit Dhali Dynamical Systems This paper investigates synchronization phenomena in networks of coupled oscillators governed by three-time-scale dynamical systems exhibiting canard dynamics. A mathematical framework has been developed to analyze the synchronization of fast variables across heterogeneous systems, deriving a sufficient condition for the synchronization error to fall below a specified threshold within the minimum linger time. This condition accounts for coupling strength, heterogeneity, and time-scale separation, ensuring stable oscillatory behavior in the network. The result, supported by rigorous mathematical analysis, advances the understanding of synchronization in complex multi-time-scale systems. |
| title | Synchronization Phenomenon in Three-Time-Scale Systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2505.21088 |