Work

Contact Hamiltonian systems

Year: 2019

Type: article

Abstract: In this paper, we study Hamiltonian systems on contact manifolds, which is an appropriate scenario to discuss dissipative systems. We show how the dissipative dynamics can be interpreted as a Legendrian submanifold, and also prove a coisotropic reduction theorem similar to the one in symplectic mechanics; as a consequence, we get a method to reduce the dynamics of contact Hamiltonian systems.

Source: Journal of Mathematical Physics

DOI: 10.1063/1.5096475

Authors: Manuel de León, Manuel Lainz Valcázar

Institutions: Universidad Complutense de Madrid, Consejo Superior de Investigaciones Científicas, Institute of Mathematical Sciences, Universidad Carlos III de Madrid, Universidad Autónoma de Madrid

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Instituto de Ciencias Matemáticas, Ministerio de Economía y Competitividad, Universidad Autónoma de Madrid

Awards: G3487970159, G5597835204, G683629300, G687042154