Kiss István Z, Zhai Yumei, Hudson John L, Zhou Changsong, Kurths Jürgen
Department of Chemical Engineering, 102 Engineers' Way, University of Virginia, Charlottesville, Virginia 22904-4741, USA.
Chaos. 2003 Mar;13(1):267-78. doi: 10.1063/1.1513081.
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 Rössler oscillators are verified experimentally with an array of chaotic electrochemical oscillators.
本文探讨了噪声对少量及大量弱耦合混沌振荡器相位同步的影响。研究发现，独立噪声和相关噪声均可增强两个耦合混沌振荡器在同步阈值以下的相位同步；这与两个耦合周期振荡器的行为相反。噪声的这种建设性作用源于噪声与不稳定周期轨道的锁定特征之间的相互作用。我们表明，在一群非相同混沌振荡器中，相关噪声可增强弱耦合区域内的同步。噪声与弱耦合之间的相互作用会引发一种集体运动，其中在最佳噪声强度下相干性最大。在耦合混沌罗斯勒振荡器中通过数值观测到的噪声增强相位同步和相干共振，均在由一系列混沌电化学振荡器组成的阵列中得到了实验验证。
