| Autor: |
de León, Manuel, Gaset, Jordi, Gràcia, Xavier, Muñoz-Lecanda, Miguel C., Rivas, Xavier |
| Zdroj: |
Monatshefte für Mathematik; Aug2023, Vol. 201 Issue 4, p1149-1183, 35p |
| Abstrakt: |
Contact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact systems: cocontact manifolds. Within this setting we develop the Hamiltonian and Lagrangian formalisms, both in the regular and singular cases. In the singular case, we present a constraint algorithm aiming to find a submanifold where solutions exist. As a particular case we study contact systems with holonomic time-dependent constraints. Some regular and singular examples are analyzed, along with numerical simulations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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