On the Determination of Nonlinear Response Distributions for Oscillators with Combined Harmonic and Random Excitation
On the Determination of Nonlinear Response Distributions for Oscillators with Combined Harmonic and Random Excitation
复制标题
谐波与随机激励相结合的振荡器非线性响应分布的确定
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
K. Ellermann
中科院分区：
文献类型：
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作者：
K. Ellermann
分析了两个不同的非线性系统，都受到激励，包括谐波和随机分量，本文提出。已知这两个系统表现出不同的共存吸引子的纯谐波强迫。随机部分会对这些系统的响应造成干扰：即使在确定性情况下吸引子的主导效应仍然可见，随机干扰也会导致不同吸引子周围区域之间的偶尔跳跃。要访问的系统被发现在一个特定的状态的可能性，概率密度函数近似数值通过本地化的统计线性化。
The analysis of two different nonlinear systems, both subject to an excitation that comprises a harmonic and a random component, is presented in this paper. Both systems are known to exhibit different coexisting attractors for a purely harmonic forcing. The random part causes a disturbance of the response of these systems: Even though a dominating effect of the attractors for the deterministic case is still visible, the random disturbance also leads to occasional jumps between the areas surrounding the different attractors. To access the likelihood of the system being found in a specific state, probability density functions are approximated numerically by means of a localized statistical linearization.