Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 3 Issue: 1

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

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Publication Date
2020-06-10
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AI Summary & Key Takeaways

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

We have given two applications: to cavity solitons and to a free body under air friction.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:We have given two applications: to cavity solitons and to a free body under air friction.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Contact geometry · Contact Hamiltonian · Friction

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.

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Cite This Article

Dündar, F. S. (2020). Contact Hamiltonian Description of Systems with Exponentially Decreasing Force and Friction that is Quadratic in Velocity. Fundamental Journal of Mathematics and Applications, Volume: 3 Issue: 1. https://doi.org/10.33401/fujma.716406

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