Expected escape times from attractor basins due to low intensity noise
Expected escape times from attractor basins due to low intensity noise
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DOI：
10.1007/s11071-023-08330-z
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发表时间：
2023-02
影响因子：
5.6
通讯作者：
G. Acar;Lautaro Cilenti;J. Yorke;B. Balachandran
中科院分区：
文献类型：
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作者：
G. Acar;Lautaro Cilenti;J. Yorke;B. Balachandran
在本文中，数值方法来估计逃逸时间的吸引子盆时，动力系统受到噪声或随机扰动。噪声可以通过将解的轨迹驱动到不同的吸引子来影响非线性系统的响应。物理行为的变化可以通过周期振荡的振幅和相位变化、混沌运动的产生或湮灭、相位同步等形式来观察，而估计从一个吸引子到另一个吸引子的跃迁概率和预测逃逸时间对于量化噪声对系统响应的影响是必不可少的。在本文中，一个数值方法概述了网格之间生成的概率转移图。然后，这些地图被迭代，以找到长时间后的概率分布，其中，可以观察到一个恒定的逃逸率之间的盆地。然后使用恒定逃逸率来估计平均逃逸时间。该方法适用于低强度的随机干扰和逃逸时间长，蒙特卡洛模拟是不切实际的系统。逃逸时间到周期的估计，而不依赖于计算昂贵的计算。
In this paper, a numerical approach is described to estimate escape times from attractor basins when a dynamical system is subjected to noise or stochastic perturbations. Noise can affect nonlinear system response by driving solution trajectories to different attractors. The changes in physical behavior can be observed as amplitude and phase change of periodic oscillations, initiation or annihilation of chaotic motion, phase synchronization, and so on. Estimating probability of transitions from one attractor to another, and predicting escape times are essential for quantifying the effects of noise on the system response. In this paper, a numerical approach is outlined where probability transition maps are generated between grids. Then, these maps are iterated to find the probability distribution after long durations, wherein, a constant escape rate can be observed between basins. The constant escape rate is then used to estimate the average escape times. The approach is applicable to systems subjected to low-intensity stochastic disturbances and with long escape times, where Monte Carlo simulations are impractical. Escape times up toperiods are estimated without relying on computationally expensive computations.