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Journals / Communications in Advanced Mathematical Sciences / 2021 / Cilt: 4 - Sayı: 2

Contact Hamiltonian Description of 1D Frictional Systems

Furkan Semih DÜNDAR
Gülhan AYAR
Pages
100–107
Publication Date
2021-06-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider contact Hamiltonian description of 1D frictional dynamics with no conserved force.
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Key Findings & Data:Friction forces that are monomials of velocity, and sum of two monomials are considered.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Contact geometry · Contact Hamiltonian mechanics · Friction force

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.

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Cite This Article

DÜNDAR, F. S., AYAR, G. (2021). Contact Hamiltonian Description of 1D Frictional Systems. Communications in Advanced Mathematical Sciences, Cilt: 4 - Sayı: 2, 100–107. https://ajindex.com/articles/748241

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References (8)

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