Hopf bifurcation for the equation ẍ ( t ) + f ( x ( t ) ) ẋ ( t ) + g ( x ( t − r ) ) = 0
نویسندگان
چکیده
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))ẋ(t) + g(x(t − r)) = 0, taking as bifurcation parameter c either d or r. We assume that r > 0, f ∈ C, f(0) = c > 0, g(0) = 0 and ġ(0) = d > 0.
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