Hopf bifurcation in numerical approximation of a class delay differential equations

摘要

In this paper we consider the numerical solution of a delay differential equation undergoing a Hopf bifurcation. We prove that if the delay differential equation has a Hopf bifurcation point at lambda = lambda* then the numerical solution of the equation also has a Hopf bifurcation point at lambda(h) = lambda* + O(h). (C) 2002 Elsevier Inc. All rights reserved. [References: 11]