Symmetry Broken in Low Dimensional N-Body Chaos

Abstract

In this paper, we explore domains in conjunction with the defined parametric space of function f = h(z) Pi(t) {exp(g(t)(z))[(a(z) - z)/(1 - (a) over bar (t)z)]}, which represents a N-body system in complex form Interested observations on the computed results reveal limited levels of Herman ring fractals; symmetry broken; and transition to chaos based on phase parameter exp(g(t)(z)) and a(t)