English

Design and control of noise-induced synchronization patterns

Adaptation and Self-Organizing Systems 2015-02-18 v1 Disordered Systems and Neural Networks Chaotic Dynamics Pattern Formation and Solitons Biological Physics

Abstract

We propose a method for controlling synchronization patterns of limit-cycle oscillators by common noisy inputs, i.e., by utilizing noise-induced synchronization. Various synchronization patterns, including fully synchronized and clustered states, can be realized by using linear filters that generate appropriate common noisy signals from given noise. The optimal linear filter can be determined from the linear phase response property of the oscillators and the power spectrum of the given noise. The validity of the proposed method is confirmed by numerical simulations.

Keywords

Cite

@article{arxiv.1502.04951,
  title  = {Design and control of noise-induced synchronization patterns},
  author = {Wataru Kurebayashi and Tsubasa Ishii and Mikio Hasegawa and Hiroya Nakao},
  journal= {arXiv preprint arXiv:1502.04951},
  year   = {2015}
}

Comments

6 pages, 4 figures

R2 v1 2026-06-22T08:31:35.741Z