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

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.