Contact Hamiltonian Description of 1D Frictional Systems

Authors : Furkan Semih DÜNDAR, Gülhan AYAR

Pages : 100-107

Doi:10.33434/cams.937807

View : 20 | Download : 9

Publication Date : 2021-06-30

Article Type : Research Paper

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 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 dissipative systems where the friction force is not in the form considered in this paper.
Keywords : Contact geometry, Contact Hamiltonian mechanics, Friction force