论文标题
由于乘法噪声而导致的分离质交叉
Separatrix crossing due to multiplicative colored noise
论文作者
论文摘要
弱乘积有色噪声对哈密顿系统动力学的影响通过渐近型或异斜轨迹附近的渐近方法研究。获得了噪声诱导的分离质交叉概率的一般表达，并通过两孔悬挂式振荡器进行说明。它显示了弱噪声如何显着影响分离分离附近的动力学。另外，讨论了噪声幅度的非线性程度的影响。
The effect of weak multiplicative colored noise on the dynamics of a Hamiltonian system is studied by means of asymptotic methods, in the vicinity of homoclinic or heteroclinic trajectories. A general expression for the probability of noise-induced separatrix crossing is obtained, and is illustrated by means of a two-well Duffing oscillator. It shows how weak noise can significantly affect the dynamics near separatrices. In addition, the influence of the degree of non-linearity of the noise amplitude is discussed.
