Contact Hamiltonian Description of 1D Frictional Systems

Year 2021, Volume: 4 Issue: 2, 100 - 107, 30.06.2021

Furkan Semih Dündar , Gülhan Ayar

https://doi.org/10.33434/cams.937807

https://izlik.org/JA55PS74CR

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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