Resumen de Hopf bifurcation for the equation $\ddot x(t)+f(x(t)) \dot x(t)+g(x(t-r))=0$

Antonio Acosta, Marcos Lizana

• In this paper, by using the Hopf¿s bifurcation theorem we will discuss the existence of small amplitude periodic solutions of the equation ¿x(t)+ f(x(t)) ÿ x(t) + g(x(t - r)) = 0, taking as bifurcation parameter c either d or r. We assume that r > 0, f 2 C1, f(0) = c > 0, g(0) = 0 and ÿ g(0) = d > 0.