Stability and Hopf-bifurcation analysis of an unidirectionally coupled system

In this paper, the stability and existence of periodic solutions for an unidirectionally coupled nonlinear system with delays are investigated by combining the linear stability theory and the embedding technique of asymptotically autonomous semiflows, Hopf bifurcation theory and a contin- uation theorem of coincidence degree theory, respectively. Some numerical simulations are carried out for illustrating the analytical results.