Contact Hamiltonian Description of 1D Frictional Systems

Abstract

In this paper, we consider contact Hamiltonian description of 1D frictional dynamics with no conserved force. Friction forces that are monomials of velocity, and the sum of two monomials are considered. For that purpose, quite general forms of contact Hamiltonians are taken into account. We conjecture that it is impossible to give a contact Hamiltonian description of dissipative systems where the friction force is not in the form considered in this paper.