The phenomenon of deterministic collective escape of particles from the cubic on-site potential well in the presence of both uniform damping and a periodic force is studied. Using analytical techniques such as the separation of time and space as well as the Melnikov theorem, the condition on the periodic force for which a single particle exhibits an irregular motion induced by the homoclinic bifurcation (HB) is derived. Numerical simulation showed that this irregular motion can lead to a strong localization of energy on all the coupled particles allowing them to collectively cross the energy barrier. Moreover, the critical value of the driving force inducing collective escape increases as the potential energy barrier increases and decreases as its frequency increases. Depending on the frequency range of the driving frequency, the collective escape and HB can occur simultaneously; otherwise, the HB prevails.

研究了在存在均匀阻尼和周期性力的情况下，粒子从立方原位势阱中确定性集体逃逸的现象。运用时空分离等分析技术以及梅尔尼科夫定理，推导了单个粒子因同宿分岔（HB）引起的不规则运动的周期力条件。数值模拟表明，这种不规则运动会导致所有耦合粒子上的能量强烈定位，从而使它们能够共同越过能量屏障。此外，导致集体逃逸的驱动力的临界值随着势能势垒的增加而增加，随着其频率的增加而减少。根据驱动频率的频率范围，集体逃逸和HB可以同时发生；否则以HB为准。