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Journals / Turkish Journal of Physics / 2020 / Cilt: 44 - Sayı: 1

Analysis of chaotic and regular behavior of Matinyan–Yang–Mills–Higgs Hamiltonian system

Engin KANDIRAN
Avadis HACINLIYAN
Pages
1–9
DOI
—
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AI Summary & Key Takeaways

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

In this way, we show the existence of four fixed points where period orbitsexist.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study we analyze the Matinyan–Yang–Mills–Higgs (MYMH) system, based on semiclassical solutionsto a Yang–Mills model, using Poincaré surfaces of section and the method of averaging.
📊
Key Findings & Data:To investigate the possible chaoticbehavior for the system, we simulate the trajectories of the system and calculate the Lyapunov exponents.
💡
Conclusion & Impact:In this way, we show the existence of four fixed points where period orbitsexist.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

In this study we analyze the Matinyan–Yang–Mills–Higgs (MYMH) system, based on semiclassical solutionsto a Yang–Mills model, using Poincaré surfaces of section and the method of averaging. To investigate the possible chaoticbehavior for the system, we simulate the trajectories of the system and calculate the Lyapunov exponents. We observethat the system displays weakly chaotic behavior. We search for the existence of approximately conserved quantities forthe system using the method of averaging. In this way, we show the existence of four fixed points where period orbitsexist.

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Cite This Article

KANDIRAN, E., HACINLIYAN, A. (2020). Analysis of chaotic and regular behavior of Matinyan–Yang–Mills–Higgs Hamiltonian system. Turkish Journal of Physics, Cilt: 44 - Sayı: 1, 1–9. https://ajindex.com/articles/369268

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