Bifurcation Analysis of Noise-induced Synchronization
Provides theoretical insight into noise-induced synchronization dynamics for nonlinear systems, but the results are incremental and domain-specific.
The paper analyzes bifurcation phenomena in synchronization errors of two identical nonlinear systems driven by common noise, using numerical continuation of saddle-node bifurcations to identify slow convergence regimes.
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.