On two classes of autonomous third-order nonlinear ordinary differential equations |
| |
Authors: | J.I. Ramos,C.M. Garcí a-Ló pez |
| |
Affiliation: | Escuela de Ingenierías, Universidad de Málaga, Doctor Pedro Ortiz Ramos, s/n, 29071 Málaga, Spain |
| |
Abstract: | Two autonomous, nonlinear, third-order ordinary differential equations whose dynamics can be represented by second-order nonlinear ordinary differential equations for the first-order derivative of the solution are studied analytically and numerically. The analytical study includes both the obtention of closed-form solutions and the use of an artificial parameter method that provides approximations to both the solution and the frequency of oscillations. It is shown that both the analytical solution and the accuracy of the artificial parameter method depend greatly on the sign of the nonlinearities and the initial value of the first-order derivative. |
| |
Keywords: | Third-order nonlinear ordinary differential equations Autonomous equations Artificial parameter Periodic solutions |
本文献已被 ScienceDirect 等数据库收录! |