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 background of higher-order mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton–Jacobi equations in these formalisms and apply our results to analyze...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | España |
| Recursos: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/378213 |
| Acesso em linha: | http://hdl.handle.net/10261/378213 |
| Access Level: | acceso abierto |
| Palavra-chave: | Hamilton–Jacobi equation higher–order Lagrangian and Hamiltonian systems Symplectic geometry |
| Resumo: | The geometric framework for the Hamilton–Jacobi theory is used to study this theory in the background of higher-order mechanical systems, in both 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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