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arXiv · 2406.01208

Synchronization of two coupled massive oscillators in the time-delayed Kuramoto model

Esmaeil Mahdavi·Mina Zarei·Farhad Shahbazi
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Abstract

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.

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Esmaeil Mahdavi, Mina Zarei, Farhad Shahbazi. 2024-06-03. Synchronization of two coupled massive oscillators in the time-delayed Kuramoto model. https://arxiv.org/abs/2406.01208

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