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arxiv: 0909.1161 · v1 · submitted 2009-09-07 · 🧮 math.DS · math.NA

Bifurcation Analysis of Noise-induced Synchronization

classification 🧮 math.DS math.NA
keywords synchronizationbifurcationerrorsslowanalysisarisingcommonconsisting
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We investigate bifurcation phenomena between slow and fast convergences of synchronization errors arising in the proposed synchronization system consisting of two identical nonlinear dynamical systems linked by a common noisy input only. The numerical continuation of the saddle-node bifurcation set of the primary resonance of moments provides an effective identifier of the slow convergence of synchronization errors.

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