Nonlinear oscillators via \v{C}eby\v{s}\"ev quintic approximations

Abstract

Aim of this work is the study of differential equations governing non--dissipative non--linear oscillators; these arise in different physical models such as the treatment of relativistic oscillators, up to generalizations to Duffing's relativistic oscillators and in non--relativistic models which deals with cables with an attached midpoint mass, or some harmonic Duffing oscillators.Comment: 15 pages, 9 figures, 3 table