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 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
Thanks
We would like to thank anonymous referees whose comments improved the paper.
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