Escape Solutions of Two-Degree of Freedom Dynamical System of the Coupled Non-Linear Double Oscillator with Third Order Potential

摘要

This paper presents the results of a remarkable effort to approximate the space of escape solutions of the axi-symmetric, two-degree of freedom dynamical system of the non-linear double oscillator corresponding to a third order potential. The initial conditions of escape solutions constitute a compact two-dimensional space in the (x, C) plane and the solutions generated by them, occupy densely its space of motion. Determination of the part of (x, C), within which ordered (non-chaotic) motions prevail, is better achieved through determination of the space of escape motions.