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arXiv · 1412.4281

Sync: Persistence in Two Diffusively Coupled Oscillators

Marcos D. N. Maia·Tiago Pereira
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Abstract

We address the problem of stability of synchronization in two diffu- sively coupled oscillators under small perturations. We have two cases, namely, when the perturation becomes of a linear operator and the case of non-linear operator. We use the Lyapunov second method to guar- antee the global analysis for the first case. For the second, we use the Hartman-Grobman theorem, providing local analysis.

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Marcos D. N. Maia, Tiago Pereira. 2014-12-13. Sync: Persistence in Two Diffusively Coupled Oscillators. https://arxiv.org/abs/1412.4281

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