Noise Induced Phase Synchronization of a General Class of Limit Cycle Oscillators | Zendy

Jun-nosuke Teramae | Zendy; Dan Tanaka | Zendy

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Noise Induced Phase Synchronization of a General Class of Limit Cycle Oscillators

Author(s) -

Jun-nosuke Teramae,

Dan Tanaka

Publication year - 2006

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.161.360

Subject(s) - limit cycle , noise (video) , limit (mathematics) , synchronization (alternating current) , mathematics , lyapunov exponent , phase noise , generalization , synchronization networks , control theory (sociology) , statistical physics , topology (electrical circuits) , physics , mathematical analysis , computer science , quantum mechanics , combinatorics , control (management) , nonlinear system , artificial intelligence , optics , image (mathematics)

We consider the effect of weak additive noise to a general class of limit cycle oscillators. Employing phase reduction method, the largest Lyapunov exponent of the noise driven oscillators are shown to be negative for a broad class of oscillators, which implies that identical limit cycle oscillators driven by a common additive noise can achieve phase synchronization without direct mutual interactions. Generalization of the results including the effect of colored noise and the effect of noise to spatially extended systems are also discussed.

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