Hopf bifurcation for the equation ẍ(t) + f(x(t))ẋ(t) + g(x(t - R)) = 0

Abstract:

In this paper, by using the Hopf's bifurcation theorem we will discuss the existence of small amplitude periodic solutions of the equation ẍ(t) + f(x(t))xdot;(t) + g(x(t - r)) = 0, taking as bifurcation parameter c either d or r. We assume that r > 0, f ∈ C1, f(0) = c > 0, g(0) = 0 and ġ(0) = d > 0.

Año de publicación:

2005

Keywords:

• Delay equation
• Hopf's bifurcation

Fuente:

scopus