English

Bifurcation Analysis of Noise-induced Synchronization

Dynamical Systems 2009-09-09 v1 Numerical 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.

Keywords

Cite

@article{arxiv.0909.1161,
  title  = {Bifurcation Analysis of Noise-induced Synchronization},
  author = {Katsutoshi Yoshida and Yusuke Nishizawa},
  journal= {arXiv preprint arXiv:0909.1161},
  year   = {2009}
}

Comments

12 pages, 8 figures

R2 v1 2026-06-21T13:43:16.975Z