Synchrony of limit-cycle oscillators induced by random external impulses.
Synchrony of limit-cycle oscillators induced by random external impulses.
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DOI：
10.1103/physreve.72.026220
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发表时间：
2005-05
期刊：
影响因子：
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通讯作者：
H. Nakao;Kensuke Arai;Ken Nagai;Y. Tsubo;Y. Kuramoto
中科院分区：
文献类型：
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作者：
H. Nakao;Kensuke Arai;Ken Nagai;Y. Tsubo;Y. Kuramoto
分析了非耦合极限环振子在普通随机脉冲激励下的相位同步机制。通过将振荡器的动力学简化为随机相位图，证明了当振荡器在大的脉冲间隔的限制下由弱随机脉冲强迫驱动时，通常会发生相位同步。对于小脉冲强度，微扰分析了脉冲间隔有限的情况。对于弱泊松脉冲，相位同步持续到一阶近似。
The mechanism of phase synchronization between uncoupled limit-cycle oscillators induced by common random impulsive forcing is analyzed. By reducing the dynamics of the oscillator to a random phase map, it is shown that phase synchronization generally occurs when the oscillator is driven by weak random impulsive forcing in the limit of large interimpulse intervals. The case where the interimpulse intervals are finite is also analyzed perturbatively for small impulse intensity. For weak Poisson impulses, it is shown that the phase synchronization persists up to the first order approximation.