arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1703.09249cond-mat.stat-mech
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耦合系统中非对称噪声引起的大涨落

Asymmetric noise-induced large fluctuations in coupled systems

Ira B. Schwartz, Klimka Szwaykowska, Thomas W. Carr

摘要:

由相互作用、相互通信的子系统组成的网络在许多领域都很常见,从生态学、生物学、流行病学到工程学和机器人学。在存在噪声和不确定性的情况下,各个组件之间的相互作用可能导致意外的复杂系统范围的行为。在本文中,我们考虑两个弱耦合动力系统的一般模型,并显示如何在系统的一个部分中的噪声是通过耦合接口传输。与耦合协同工作,一个系统上的噪声驱动另一个系统的大波动,即使第二个系统中没有噪声。此外,当第一个系统仅表现出小的随机振荡时,发生了大的波动。不确定性的影响进行量化,显示如何特性的时间尺度的噪声引起的开关规模作为一个函数的两个耦合部分的实验之间的耦合。此外,我们的研究结果表明,在无噪声系统中切换的概率成反比的平方减少噪声强度振幅,呈现虚拟的切换概率是一个非常罕见的事件。我们的结果表明,传输噪声和耦合之间的相互作用也证实了通过模拟,这符合相当好的解析理论。

英文摘要:

Networks of interacting, communicating subsystems are common in many fields, from ecology, biology, epidemiology to engineering and robotics. In the presence of noise and uncertainty, inter- actions between the individual components can lead to unexpected complex system-wide behaviors. In this paper, we consider a generic model of two weakly coupled dynamical systems, and show how noise in one part of the system is transmitted through the coupling interface. Working synergistically with the coupling, the noise on one system drives a large fluctuation in the other, even when there is no noise in the second system. Moreover, the large fluctuation happens while the first system exhibits only small random oscillations. Uncertainty effects are quantified by showing how characteristic time scales of noise induced switching scale as a function of the coupling between the two coupled parts of the experiment. In addition, our results show that the probability of switching in the noise-free system scales inversely as the square of reduced noise intensity amplitude, rendering the virtual probability of switching to be an extremely rare event. Our results showing the interplay between transmitted noise and coupling are also confirmed through simulations, which agree quite well with analytic theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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