Bifurcation Analysis of Noise-induced Synchronization

Details Bifurcation Analysis of Noise-induced Synchronization Bifurcation Analysis of Noise-induced Synchronization

2009-09-07

arxiv.org/abs/0909.1161v1

IJICIC, Vol.5, No.9, (2009), pp.2809-2818

Mathematics

Dynamical Systems

12 pages, 8 figures

Scientific paper

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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