A review on contact Hamiltonian and Lagrangian systems
Abstract
Contact Hamiltonian dynamics is a subject that has still a short history, but with relevant applications in many areas: thermodynamics, cosmology, control theory, and neurogeometry, among others. In recent years there has been a great effort to study this type of dynamics both in theoretical aspects and in its potential applications in geometric mechanics and mathematical physics. This paper is intended to be a review of some of the results that the authors and their collaborators have recently obtained on the subject.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2020
- DOI:
- arXiv:
- arXiv:2011.05579
- Bibcode:
- 2020arXiv201105579D
- Keywords:
-
- Mathematical Physics;
- 37J55;
- 70H20;
- 37J60;
- 70H45;
- 70H33;
- 53D20
- E-Print:
- arXiv admin note: text overlap with arXiv:1911.05409, arXiv:1904.11429