Aumaître Sébastien, Pétrélis François, Mallick Kirone
Laboratoire de Physique Statistique, Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris, France.
Phys Rev Lett. 2005 Aug 5;95(6):064101. doi: 10.1103/PhysRevLett.95.064101. Epub 2005 Aug 1.
A bifurcating system subject to multiplicative noise can display on-off intermittency. Using a canonical example, we investigate the extreme sensitivity of the intermittent behavior to the nature of the noise. Through a perturbative expansion and numerical studies of the probability density function of the unstable mode, we show that intermittency is controlled by the ratio between the departure from onset and the value of the noise spectrum at zero frequency. Reducing the noise spectrum at zero frequency shrinks the intermittency regime drastically. This effect also modifies the distribution of the duration that the system spends in the off phase. Mechanisms and applications to more complex bifurcating systems are discussed.
一个受到乘性噪声影响的分叉系统可能会表现出开-关间歇性。通过一个典型例子，我们研究了间歇性行为对噪声性质的极端敏感性。通过对不稳定模式概率密度函数的微扰展开和数值研究，我们表明间歇性由偏离起始点的值与零频率处噪声谱的值之间的比率控制。降低零频率处的噪声谱会大幅缩小间歇性区域。这种效应还会改变系统在关闭阶段所花费时间的分布。文中讨论了相关机制以及在更复杂分叉系统中的应用。
