Design and control of noise-induced synchronization patterns

Wataru Kurebayashi; Tsubasa Ishii; Mikio Hasegawa; Hiroya Nakao

doi:10.1209/0295-5075/107/10009

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arXiv · 1502.04951

Design and control of noise-induced synchronization patterns

Wataru Kurebayashi·Tsubasa Ishii·Mikio Hasegawa·Hiroya Nakao

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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.

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Wataru Kurebayashi, Tsubasa Ishii, Mikio Hasegawa, Hiroya Nakao. 2015-02-17. Design and control of noise-induced synchronization patterns. https://doi.org/10.1209/0295-5075%2F107%2F10009

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