论文标题
拉格朗日描述符和古典力学的动作积分
Lagrangian Descriptors and the Action Integral of Classical Mechanics
论文作者
论文摘要
在本文中，我们将拉格朗日描述符的方法汇总在一起，以及在确定性和随机设置中的最小动作或更精确的固定作用的原则。特别是，我们展示了如何将动作用作拉格朗日描述符。这提供了拉格朗日描述符和哈密顿力学之间的直接联系，我们用基准示例说明了这种联系。
In this paper we bring together the method of Lagrangian descriptors and the principle of least action, or more precisely, of stationary action, in both deterministic and stochastic settings. In particular, we show how the action can be used as a Lagrangian descriptor. This provides a direct connection between Lagrangian descriptors and Hamiltonian mechanics, and we illustrate this connection with benchmark examples.
