Nonresonant entrainment of detuned oscillators induced by common external noise

Details Nonresonant entrainment of detuned oscillators induced by common external noise Nonresonant entrainment of detuned oscillators induced by common external noise

2007-05-31

arxiv.org/abs/0705.4520v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 2 figures

Scientific paper

We have found that a novel type of entrainment occurs in two nonidentical limit cycle oscillators subjected to a common external white Gaussian noise. This entrainment is anomalous in the sense that the two oscillators have different mean frequencies, where the difference is constant as the noise intensity increases, but their phases come to be locked for almost all the time. We present a theory and numerical evidence for this phenomenon.

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