Contact Hamiltonian Description of Systems with Exponentially Decreasing Force and Friction that is Quadratic in Velocity

Year 2020, Volume: 3 Issue: 1, 29 - 32, 10.06.2020

Furkan Semih Dündar

https://doi.org/10.33401/fujma.716406

Cited By: 1

Abstract

We have given a simple contact Hamiltonian description of a system with exponentially vanishing (or zero) potential under a friction term that is quadratic in velocity. We have given two applications: to cavity solitons and to a free body under air friction.

Keywords

Contact geometry , Contact Hamiltonian , Friction

Thanks

We would like to thank Metin Arık and Bayram Tekin for useful discussions. We also would like to Gülhan Ayar for bringing contact geometry to our attention.

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