Stochastic stability of the harmonically and randomly excited Duffing oscillator with damping modele

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有抑制的调和地并且随机激动的未击中振荡器的随机的稳定性由 Caputos 的部分衍生物当模特儿定义被分析。首先,系统状态被它近似描述吗?通过随机的平均方法的方程基于概括泛音工作。然后,为最大的 Lyapunov 代表的联系表示线性化平均它?被导出,并且为有原来的系统的概率一小答案的 asymptotic 稳定性的必要、足够的条件被让最大的 Lyapunov 代表近似获得否定。有一个人由最大的 Lyapunov 代表决定了的概率的 asymptotic 稳定性上的部分订单和随机的刺激紧张的效果图形地被显示出
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