论文标题
狄拉克环境中的离散机械系统：提案
Discrete Mechanical Systems in a Dirac Setting: a Proposal
论文作者
论文摘要
在这些说明中，我们使用狄拉克结构提出了离散狄拉克力学的替代版本。我们首先建立了“连续狄拉克系统”的概念，然后提出了离散狄拉克系统的定义，证明可以将离散的拉格朗日和哈密顿系统作为特定情况恢复。我们还注意到，这种方法允许运动和变异约束。
In these notes, we present an alternative version of discrete Dirac mechanics using Dirac structures. We first establish a notion of 'continuous Dirac system' and then propose a definition of discrete Dirac system, proving that it is possible to recover discrete Lagrangian and Hamiltonian systems as particular cases. We also note that this approach allows for kinematic as well as variational constraints.
