Noise-influenced transient energy localization in an oscillator array
Noise-influenced transient energy localization in an oscillator array
复制标题
振荡器阵列中受噪声影响的瞬态能量局部化
DOI：
10.1587/nolta.4.232
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
B. Balachandran
中科院分区：
文献类型：
--
作者：
E. Perkins;Christopher C. Chabalko;B. Balachandran
研究了噪声对非线性振子耦合阵列中瞬态能量局部化的影响。通过模拟确定性系统得到的结果进行比较，通过欧拉-丸山计划为基础的模拟相应的随机系统。为了补充数值研究，福克-普朗克形式主义也被用来分析系统的响应中存在的噪声。瞬态局部化现象进行了探讨，通过使用时域和时频分析，并获得的见解进行了讨论。这项研究的目的是进一步了解相关的行为，并使用它的非线性系统的好处。
The effects of noise on transient energy localization in a coupled array of nonlinear oscillators are examined. Results obtained through simulations of deterministic systems are compared to those obtained through Euler-Maruyama scheme based simulations of the corresponding stochastic systems. To complement the numerical studies, a Fokker-Planck formalism is also used to analyze the response of the system in the presence of noise. Transient localization phenomena are explored by using time-domain and time-frequency analysis, and the insights gained are discussed. The intent of this study is to further the understanding of related behavior and use it for the benefit of a nonlinear system.