Generalized hybrid momentum maps and reduction by symmetries of forced mechanical systems with inelastic collisions
Leonardo J. Colombo, Manuel de León, María Emma Eyrea Irazú, Asier López-Gordón
本文讨论了对称性对于具有非弹性碰撞的自主和非自主强制机械系统的减少。 特别是,我们介绍了广义混合动量图和运动的混合常数的概念,以给出是否可以对受非保守外部力和非弹性冲击的哈密尔顿和拉格朗日系统进行对称还原的一般条件,以及将其扩展到受时间依赖性外力和时间依赖性非弹性碰撞的依赖于时间的机械系统。 我们用示例和数值模拟来说明该方法的适用性。
This paper discusses reduction by symmetries for autonomous and non-autonomous forced mechanical systems with inelastic collisions. In particular, we introduce the notion of generalized hybrid momentum map and hybrid constants of the motion to give general conditions on whether it is possible to perform symmetry reduction for Hamiltonian and Lagrangian systems subject to non-conservative external forces and non-elastic impacts, as well as its extension to time-dependent mechanical systems subjec...
