Chaotic dynamics of the coupled single-well quintic, henonheiles and hydrogen atom in a uniform magnetic field

Abstract

The behaviour of a body subjected to three coupled potentials, those of a single-well quintic potential, the Henon-Heiles potential and that of the hydrogen atom in a uniform magnetic field were investigated. The parameter under interest was the parameter that characterised the chaotic dynamics of the hydrogen atom in a uniform magnetic field. The body exhibited regular behaviour for values of the coupling parameter less than a threshold value, after which it abruptly became chaotic, with the degree of chaoticity increasing with the coupling parameter.

Keywords: Single-well Quintic, Henon-Heiles, Hydrogen Atom, Uniform Magnetic Field, Chaos