New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries
We provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equations, and we review two recently presented Lagrangian formalisms, studying their equivalence. We define several kinds o...
| Autores: | , , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| 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:2117/335153 |
| Acceso en línea: | https://hdl.handle.net/2117/335153 https://dx.doi.org/10.1142/S0219887820500905 |
| Access Level: | acceso abierto |
| Palabra clave: | Contact manifold Dissipative system Lagrangian formalism Hamiltonian formalism Symmetry Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | We provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equations, and we review two recently presented Lagrangian formalisms, studying their equivalence. We define several kinds of symmetries for contact dynamical systems, as well as the notion of dissipation laws, prove a dissipation theorem and give a way to construct conserved quantities. Some well-known examples of dissipative systems are discussed. |
|---|