Contact Hamiltonian systems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Oct 2019Embargo end date: 01 Jan 2018 Spain English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 60 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Lainz Valcázar, Manuel; León, Manuel de;

doi: 10.1063/1.5096475 , 10.48550/arxiv.1811.03367

arXiv: 1811.03367

handle: 10261/206275

Contact Hamiltonian systems

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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.

Country

Spain

Related Organizations

Institute of Mathematical Sciences
Spain
Spanish National Research Council
Spain

Keywords

Hamilton's equations, FOS: Physical sciences, Mathematical Physics (math-ph), Lagrangian submanifolds; Maslov index, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, Mathematics - Symplectic Geometry, FOS: Mathematics, 37J55, 70H05, 53D10, Contact manifolds (general theory), Symplectic Geometry (math.SG), Transformation and reduction of ordinary differential equations and systems, normal forms, Mathematical Physics

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