Noise influenced response movement in coupled oscillator arrays with multi-stability

Noise influenced response movement in coupled oscillator arrays with multi-stability
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噪声影响多稳定性耦合振荡器阵列中的响应运动

DOI:
10.1016/j.jsv.2022.116951
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发表时间:
2022
影响因子:
4.7
通讯作者:
Balachandran, B.
Balachandran, B.
中科院分区:
工程技术2区
文献类型:
--
作者:
Alofi, A.;Acar, G;Balachandran, B.

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在这项工作中,作者探讨了噪声对耦合非线性振子动力学的影响。数值研究的基础上的欧拉-丸山计划和实验研究与有限持续时间的噪声进行研究如何响应可以从一个响应状态移动到另一个通过使用噪声除了谐波强迫系统。特别是,从每个振荡器的高振幅状态的每个振荡器的低振幅状态的跳跃和匡威的证明沿着与噪声影响的本地化。这些事件被发现发生在一个区域的多稳定的系统,并报告相应的噪声水平。利用响应吸引域,提出了一种识别需要多少噪声才能引起系统动力学变化的方法。这项工作的结果具有影响弱耦合,非线性振荡器阵列和噪声可以用来影响这些系统中的能量定位和系统动力学的方式。
In this work, the authors explore the influence of noise on the dynamics of coupled nonlinear oscillators. Numerical studies based on the Euler–Maruyama scheme and experimental studies with finite duration noise are undertaken to examine how the response can be moved from one response state to another by using noise addition to a harmonically forced system. In particular, jumps from a high amplitude state of each oscillator to a low amplitude state of each oscillator and the converse are demonstrated along with noise-influenced localizations. These events are found to occur in a region of multi-stability for the system, and the corresponding noise levels are reported. A method for recognizing how much noise is required to induce a change the system dynamics is developed by using the response basins of attraction. The findings of this work have implications for weakly coupled, nonlinear oscillator arrays and the manner in which noise can be used to influence energy localization and system dynamics in these systems.
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