论文标题
联络系统的统一拉格朗日 - 哈米尔顿形式主义
Unified Lagrangian-Hamiltonian formalism for contact systems
论文作者
论文摘要
我们提出了一个统一的几何框架，用于描述接触自主机械系统的拉格朗日式和哈密顿的形式，该框架基于R. Skinner和R. Rusk的开创性工作的方法。该框架允许跳过二阶微分方程问题，该方程是作为约束算法（对于单数或常规拉格朗日人）的一部分而获得的，并且对于描述单数拉格朗日系统非常有用。还讨论了一些示例以说明该方法。
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the approach of the pionnering work of R. Skinner and R. Rusk. This framework permits to skip the second order differential equation problem, which is obtained as a part of the constraint algorithm (for singular or regular Lagrangians), and is specially useful to describe singular Lagrangian systems. Some examples are also discussed to illustrate the method.
