论文标题
在广义的Kruskal-Neishtadt-Henrard定理下的动态转变的开放系统控制
Open system control of dynamical transitions under the generalized Kruskal-Neishtadt-Henrard theorem
论文作者
论文摘要
有用的动力学过程通常是通过屏障横断动力学转变开始的。因此，为了可靠地进行此类过渡是生物学或人工显微镜机制的重要任务。在这里，我们首先通过示例表明，即使在控制参数中添加少量的后反应，因此它可以响应系统的演变，可以显着增加穿越分离质的轨迹的分数。然后，我们解释了由于Neishtadt引起的后绝热定理如何定量描述这种增强，而无需求解运动方程，从而可以系统地理解和设计一类自我控制的动力学系统。
Useful dynamical processes often begin through barrier-crossing dynamical transitions; engineering system dynamics in order to make such transitions reliably is therefore an important task for biological or artificial microscopic machinery. Here we first show by example that adding even a small amount of back-reaction to a control parameter, so that it responds to the system's evolution, can significantly increase the fraction of trajectories that cross a separatrix. We then explain how a post-adiabatic theorem due to Neishtadt can quantitatively describe this kind of enhancement without having to solve the equations of motion, allowing systematic understanding and design of a class of self-controlling dynamical systems.
