- Communications in Advanced Mathematical Sciences
- Vol: 4 Issue: 2
- Contact Hamiltonian Description of 1D Frictional Systems
Contact Hamiltonian Description of 1D Frictional Systems
Authors : Furkan Semih Dündar, Gülhan Ayar
Pages : 100-107
Doi:10.33434/cams.937807
View : 13 | Download : 8
Publication Date : 2021-06-30
Article Type : Research
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