Synchronization of two coupled massive oscillators in the time-delayed Kuramoto model
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917762107965440 |
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| author | Mahdavi, Esmaeil Zarei, Mina Shahbazi, Farhad |
| author_facet | Mahdavi, Esmaeil Zarei, Mina Shahbazi, Farhad |
| contents | We examine the impact of time delay on two coupled massive oscillators within the second-order Kuramoto model, which is relevant to the operations of real-world networks that rely on signal transmission speed constraints. Our analytical and numerical exploration shows that time delay can cause multi-stability within phase-locked solutions, and the stability of these solutions decreases as inertia increases. In addition to phase-locked solutions, we discovered non-phase-locked solutions that exhibit periodic and chaotic behaviors, depending on the amount of inertia and time delay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01208 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Synchronization of two coupled massive oscillators in the time-delayed Kuramoto model Mahdavi, Esmaeil Zarei, Mina Shahbazi, Farhad Chaotic Dynamics We examine the impact of time delay on two coupled massive oscillators within the second-order Kuramoto model, which is relevant to the operations of real-world networks that rely on signal transmission speed constraints. Our analytical and numerical exploration shows that time delay can cause multi-stability within phase-locked solutions, and the stability of these solutions decreases as inertia increases. In addition to phase-locked solutions, we discovered non-phase-locked solutions that exhibit periodic and chaotic behaviors, depending on the amount of inertia and time delay. |
| title | Synchronization of two coupled massive oscillators in the time-delayed Kuramoto model |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2406.01208 |