New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries
| Autor: | Miguel C. Muñoz-Lecanda, Narciso Román-Roy, Jordi Gaset, Xavier Gràcia, Xavier Rivas |
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| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada, Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
37J55 53D10 70H05 70H33 70G45 70G65 70H03 Dissipative system Physics and Astronomy (miscellaneous) Contact manifold FOS: Physical sciences 01 natural sciences Symmetry symbols.namesake Lagrangian formalism 0103 physical sciences 70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics [Classificació AMS] 010306 general physics Mathematical Physics Physics Hamiltonian formalism 010308 nuclear & particles physics Matemàtiques i estadística [Àrees temàtiques de la UPC] Mathematical Physics (math-ph) Rotation formalisms in three dimensions Mechanical system Classical mechanics High Energy Physics - Theory (hep-th) Homogeneous space symbols Hamiltonian (quantum mechanics) Equations for a falling body Lagrangian |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| ISSN: | 1793-6977 0219-8878 |
| DOI: | 10.1142/s0219887820500905 |
| Popis: | 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. Comment: 24 pp. This is the final version of the article. Some minor misprints are corrected. Some bibliographycal references are uploaded |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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