Geometry of Mechanics
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912361694101504 |
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| author | Muñoz-Lecanda, Miguel C. Román-Roy, Narciso |
| author_facet | Muñoz-Lecanda, Miguel C. Román-Roy, Narciso |
| contents | The aim of this work is to study the geometry underlying mechanics and its application to describe autonomous and nonautonomous conservative dynamical systems of different types; as well as dissipative dynamical systems. We use different geometric descriptions to study the main properties and characteristics of these systems; such as their Lagrangian, Hamiltonian and unified formalisms, their symmetries, the variational principles, and others. The study is done mainly for the regular case, although some comments and explanations about singular systems are also included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12650 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometry of Mechanics Muñoz-Lecanda, Miguel C. Román-Roy, Narciso Mathematical Physics High Energy Physics - Theory Differential Geometry 53B20, 53B21, 53D05, 53D10, 53D20, 53D22, 53Z05, 58A30, 70A05, 70F20, 70F25, 70G10, 70G45, 70G65, 70G75, 70H03, 70H05, 70H15, 70H20, 70H25, 70H33 The aim of this work is to study the geometry underlying mechanics and its application to describe autonomous and nonautonomous conservative dynamical systems of different types; as well as dissipative dynamical systems. We use different geometric descriptions to study the main properties and characteristics of these systems; such as their Lagrangian, Hamiltonian and unified formalisms, their symmetries, the variational principles, and others. The study is done mainly for the regular case, although some comments and explanations about singular systems are also included. |
| title | Geometry of Mechanics |
| topic | Mathematical Physics High Energy Physics - Theory Differential Geometry 53B20, 53B21, 53D05, 53D10, 53D20, 53D22, 53Z05, 58A30, 70A05, 70F20, 70F25, 70G10, 70G45, 70G65, 70G75, 70H03, 70H05, 70H15, 70H20, 70H25, 70H33 |
| url | https://arxiv.org/abs/2401.12650 |