Low-frequency noise controls on-off intermittency of bifurcating systems.
Low-frequency noise controls on-off intermittency of bifurcating systems.
复制标题
低频噪声控制分叉系统的开关间歇性。
DOI：
--
复制
发表时间：
2005
影响因子：
8.6
通讯作者：
K. Mallick
中科院分区：
文献类型：
--
作者：
S. Aumaitre;F. Pétrélis;K. Mallick
受乘性噪声影响的分岔系统可以表现出开关断续性。利用一个典型的例子，我们研究了间歇性行为对噪声性质的极端敏感性。通过对不稳定模态的概率密度函数的微扰展开和数值研究，我们证明了间歇性是由起始距离与零频率处噪声谱值之比控制的。在零频率处降低噪声频谱，大大缩短了间歇状态。这种影响也修改了系统在关闭阶段花费的持续时间的分布。讨论了机制及其在更复杂的分岔系统中的应用。
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.