Regular and irregular motions in a duffing oscillator

This paper deals with the problems of identifying oscillations with regular and chaotic attractors in deterministic oscillating systems. It discusses a new approach based on the dynamical principle of symmetry, the constructi on of aperiodic solution domains, and the analysis of characteristic indice s of quasistatic solutions for circular trajectories tin polar coordinates) . The Duffing equation is examined within the framework of the dynamical pr inciple of symmetry.