Authors: ENGİN KANDIRAN, AVADİS SİMON HACINLIYAN
Abstract: In this study we analyze the Matinyan-Yang-Mills-Higgs (MYMH) system, based on semiclassical solutions to a Yang-Mills model, using Poincaré surfaces of section and the method of averaging. To investigate the possible chaotic behavior for the system, we simulate the trajectories of the system and calculate the Lyapunov exponents. We observe that the system displays weakly chaotic behavior. We search for the existence of approximately conserved quantities for the system using the method of averaging. In this way, we show the existence of four fixed points where period orbits exist.
Keywords: Hamiltonian system, chaos theory, Poincaré section, method of averaging
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