A contact geometry approach to symmetries in systems with dissipation

2020/03/06 by Jordi Gaset, Gaset, Jordi
Engineering · Physics and Astronomy · #37J55 #53D10 #70G45 #70G65 #70H33 #Advanced Thermodynamics and Statistical Mechanics #Control and Stability of Dynamical Systems #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2003.03137

openalex publication_date 2020/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Systems with dissipation can be described using contact geometry. We introduce the concepts of symmetries and dissipation laws for contact Hamiltonian systems and study the relation between them. This is an ongoing collaboration with Xavier Gràcia, Miguel C. Muñoz-Lecanda, Xavier Rivas and Narciso Román-Roy.

Related

• Characterization of symmetries of contact Hamiltonian systems
• Geometric Formulation of Combined Conservative Dissipative Mechanics via Contact Hamiltonian Dynamics Symmetries, Reduction, and Variational Integrators
• The geometry of dissipation
• Geometrical aspects of contact mechanical systems and field theories
• Momentum mapping and reduction in contact Hamiltonian systems