Geometric Hamilton-Jacobi theory for higher-order autonomous systems
The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton-Jacobi equations in these formalisms and apply our results to analyze so...
| Autores: | , , , |
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| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/22509 |
| Acceso en línea: | https://hdl.handle.net/2117/22509 |
| Access Level: | acceso abierto |
| Palabra clave: | Hamilton-Jacobi equations Mathematical physics Hamilton–Jacobi equation Higher–order Lagrangian and Hamiltonian systems Symplectic geometry Equacions de Hamilton-Jacobi Física matemàtica Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria |
| Sumario: | The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton-Jacobi equations in these formalisms and apply our results to analyze some particular physical examples. |
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