Bifurcation Analysis of Noise-induced Synchronization
Katsutoshi Yoshida, Yusuke Nishizawa
TL;DR
This paper analyzes how noise influences the synchronization process in coupled nonlinear systems, identifying bifurcation points that distinguish between slow and fast convergence behaviors.
Contribution
It introduces a bifurcation analysis method for understanding noise-induced synchronization phenomena in nonlinear dynamical systems.
Findings
Identification of saddle-node bifurcations related to synchronization errors
Distinction between slow and fast convergence regimes
Use of numerical continuation for bifurcation analysis
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.
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Taxonomy
Topicsstochastic dynamics and bifurcation · Nonlinear Dynamics and Pattern Formation · Chaos control and synchronization