Bifurcation Analysis of Noise-induced Synchronization
arXiv:0909.1161
Abstract
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.
12 pages, 8 figures