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

Authors : Engin KANDIRAN, Avadis HACINLIYAN

Pages : 1-9

View : 16 | Download : 10

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this study we analyze the Matinyan-Yang-Mills-Higgs insert ignore into journalissuearticles values(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