Influence of noise on discrete breathers in nonlinearly coupled micro-oscillator arrays
Influence of noise on discrete breathers in nonlinearly coupled micro-oscillator arrays
复制标题
噪声对非线性耦合微振荡器阵列中离散呼吸器的影响
DOI：
10.1007/978-94-007-1643-8_28
复制
发表时间：
2011
影响因子：
5.6
通讯作者：
B. Balachandran
中科院分区：
文献类型：
--
作者：
S. Ramakrishnan;B. Balachandran
离散呼吸子是在周期离散哈密顿晶格对外力的响应中观察到的能量的动态局域化，最近在微尺度悬臂梁阵列的响应中被观测到。在这篇文章中，作者引用了他们以前的工作中引入的解析形式来研究白噪声激励对具有强位置间非线性的微尺度悬臂梁阵列中离散呼吸的形成和破坏的影响。推导了典型阵元的福克-普朗克方程。由Fokker-Planck方程得到的近似矩演化方程组的数值解阐明了不同强度的噪声对阵列中离散呼吸子的出现和维持的影响。所报道的结果可以形成对噪声对呼吸的影响的基本理解的基础，在具有强位置间非线性的耦合非线性振荡器阵列中，包括微型机电系统阵列。
Discrete Breathers, which are dynamical localizations of energy observed in the response of periodic, discrete Hamiltonian lattices to external forcing, have been recently observed in the response of micro-scale cantilever arrays. In this article, the authors invoke an analytical formalism introduced in their previous work to study the influence of white noise excitation on the formation and destruction of discrete breathers in a micro-scale cantilever array with strong intersite nonlinearities. The Fokker-Planck equation for a typical element of the array is derived. Numerical solutions to a system of approximate moment evolution equations obtained from the Fokker-Planck equation elucidate the influence of noise of varying intensity on the emergence and sustenance of discrete breathers in the array. The reported results can form the basis for developing a fundamental understanding of the influence of noise on breathers in coupled arrays of nonlinear oscillators with strong intersite nonlinearities including arrays of microelectromechanical systems.