On the existence of closed trajectories and pseudo-trajectories for a family of third order differential equations

Mayara Duarte de Araujo Caldas, Ricardo Miranda Martins

The goal of this article is to study the existence of closed trajectories for the differential equation $\stackrel{...}{z}+a\ddot{z}+b\dot{z}+abz=\epsilon F(z,\dot{z},\ddot{z})$ in two…