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Noise enhanced phase synchronization and coherence resonance in sets of chaotic oscillators with weak global coupling

机译：整体耦合弱的混沌振子集的噪声增强相位同步和相干共振

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摘要

The effect of noise on phase synchronization in small sets and larger populations of weakly coupled chaotic oscillators is explored. Both independent and correlated noise are found to enhance phase synchronization of two coupled chaotic oscillators below the synchronization threshold; this is in contrast to the behavior of two coupled periodic oscillators. This constructive effect of noise results from the interplay between noise and the locking features of unstable periodic orbits. We show that in a population of nonidentical chaotic oscillators, correlated noise enhances synchronization in the weak coupling region. The interplay between noise and weak coupling induces a collective motion in which the coherence is maximal at an optimal noise intensity. Both the noise-enhanced phase synchronization and the coherence resonance numerically observed in coupled chaotic Rossler oscillators are verified experimentally with an array of chaotic electrochemical oscillators.
机译：探索了噪声对小集合和大数量弱耦合混沌振荡器中相位同步的影响。在同步阈值以下，发现独立噪声和相关噪声都可以增强两个耦合混沌振荡器的相位同步。这与两个耦合的周期性振荡器的行为相反。噪声的这种建设性效果是由噪声与不稳定周期轨道的锁定特征之间的相互作用引起的。我们表明，在一群不同的混沌振荡器中，相关的噪声增强了弱耦合区域中的同步。噪声与弱耦合之间的相互作用会引起集体运动，其中在最佳噪声强度下，相干性最大。耦合混沌Rossler振荡器在数值上观察到的噪声增强相位同步和相干共振都通过使用混沌电化学振荡器阵列进行了实验验证。

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