New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries

Authors:
Preprint
Publisher website
Google Scholar
Abstract
We provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact Hamiltonian and Lagrangian equations, and we review and compare the two Lagrangian formalisms existing in the literature, proving their equivalence. The concept of symmetries and their associated dissipation and conservation theorems are introduced and studied. Finally, some well-known examples of dissipative systems in physics are discussed using this framework.

This publication has 19 references indexed in Scilit: