乘性色噪声引起的分界线交叉
Separatrix crossing due to multiplicative colored noise
摘要：
本文用渐近方法研究了弱乘性色噪声在同宿轨线或异宿轨线附近对哈密顿系统动力学的影响。给出了噪声诱导分界线穿越概率的一般表达式，并用双势阱Duffing振子进行了说明。它显示了弱噪声如何显著影响分离面附近的动力学。此外，还讨论了噪声幅值非线性程度的影响。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
