Illustrative applications of the theory of delay dynamical systems
This investigation is aimed at describing the reduction of a class of nonlinear delay differential equations having single and multiple time delays. We use the theory of delay dynamical systems, whose underlying mathematics is summarized. The delay versions of Duffing, van der Pol and Tobias equations are considered as illustrative examples. (C) 2003 Elsevier Science Ltd. All rights reserved.
time delay centre manifold theorem semigroup of operators hopf bifurcation theorem