Discrete Mechanical Systems in a Dirac Setting: a Proposal
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866909289173483520 |
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| author | Caruso, Matías I. Fernández, Javier Tori, Cora Zuccalli, Marcela |
| author_facet | Caruso, Matías I. Fernández, Javier Tori, Cora Zuccalli, Marcela |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_05600 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Discrete Mechanical Systems in a Dirac Setting: a Proposal Caruso, Matías I. Fernández, Javier Tori, Cora Zuccalli, Marcela Differential Geometry Dynamical Systems 70G45 (Primary), 37J05 (Secondary) 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. |
| title | Discrete Mechanical Systems in a Dirac Setting: a Proposal |
| topic | Differential Geometry Dynamical Systems 70G45 (Primary), 37J05 (Secondary) |
| url | https://arxiv.org/abs/2203.05600 |