Design and control of noise-induced synchronization patterns
1 Graduate School of Information Science and Engineering, Tokyo Institute of Technology - 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8552, Japan
2 Department of Electrical Engineering, Tokyo University of Science - 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan
Received: 4 March 2014
Accepted: 10 June 2014
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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 02.50.Ey – Stochastic processes / 05.40.Ca – Noise
© EPLA, 2014