Summary

2007 International Symposium on Nonlinear Theory and its Applications

2007

Session Number:17PM2-D

Session:

Number:17PM2-D-3

Nonresonant entrainment between detuned oscillators induced by common external noise

Kazuyuki Yoshimuray,  Peter Davisy,  Atsushi Uchida,  

pp.104-107

Publication Date:2007/9/16

Online ISSN:2188-5079

DOI:10.34385/proc.41.17PM2-D-3

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Summary:
We theoretically and numerically studied entrainment of two uncoupled nonidentical limit cycle oscillators subjected to a common external white Gaussian noise. We have found that a novel type of entrainment occurs in a general class of oscillators. In this entrainment, the mean frequency diRerence of the two oscillators remains the same as their natural frequency diRerence but their phases come to be locked with each other for almost all the time as the noise intensity increases. This absence of frequency locking is a fundamental property of noise induced entrainment.