标题： 非共振哈密顿系统的局部控制 显示英文标题

标题： Localised control for non-resonant Hamiltonian systems

摘要： 我们提出了一种在哈密顿系统中对混沌进行局部控制的方法。 目标是通过一个小的控制项局部地修改扰动，使受控哈密顿量更加规则。 我们提供了控制项的显式表达式，该表达式能够在不改变相空间其他部分的情况下重新创建不变（KAM）环面。 我们将这种局部控制方法应用于一个受迫摆模型、delta-脉冲旋转子（标准映射）以及一个非扭转哈密顿系统。 显示英文摘要

摘要： We present a method of localised control of chaos in Hamiltonian systems. The aim is to modify the perturbation locally by a small control term which makes the controlled Hamiltonian more regular. We provide an explicit expression for the control term which is able to recreate invariant (KAM) tori without modifying other parts of phase space. We apply this method of localised control to a forced pendulum model, to the delta-kicked rotor (standard map) and to a non-twist Hamiltonian.