Mathematical Modeling of the Equation of Duffing with Applications for Master Degree Students - Part I

摘要

We give an interpretation of some recent results of Petrova for the Duffing equation {formula} The common assumptions are that a, β and δ are positive constants and u(t) e C([T, ∞); R), is a given function, T is a large enough constant. We apply MATLAB/Simulink and compare numerical results with these one of Petrova for the distributions of the zeros of the equation. In this paper, numerical results are given for the case, where β= 0, which situation corresponds to the linear case.