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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