Sync: Persistence in Two Diffusively Coupled Oscillators

2014/12/13 by Marcos D. N. Maia, Tiago Pereira, Maia, Marcos D. N. +1
Computer Science · Engineering · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1412.4281

openalex publication_date 2014/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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