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

Autores: Antonio Acosta, Marcos Lizana
Localización: Divulgaciones matemáticas, ISSN-e 1315-2068, Vol. 13, Nº. 1, 2005, págs. 35-43
Idioma: inglés
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Resumen
- 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.