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  • Title: Echo phenomena in large systems of coupled oscillators.
    Author: Ott E, Platig JH, Antonsen TM, Girvan M.
    Journal: Chaos; 2008 Sep; 18(3):037115. PubMed ID: 19045489.
    Abstract:
    As exemplified by the Kuramoto model, large systems of coupled oscillators may undergo a transition to phase coherence with increasing coupling strength. It is shown that below the critical coupling strength for this transition such systems may be expected to exhibit "echo" phenomena: a stimulation by two successive pulses separated by a time interval tau leads to the spontaneous formation of response pulses at a time tau, 2 tau, 3 tau,..., after the second stimulus pulse. Analysis of this phenomenon, as well as illustrative numerical experiments, are presented. The theoretical significance and potential uses of echoes in such systems are discussed.
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