Hopf bifurcation for a class of differential equations with two delays

Mohamed El Azzouzi, A. Kaddar
2016 Nonlinear Analysis and Differential Equations  
In the present paper, we consider a particular kind of differential equation with two discrete time delays. When one of the delays is considered as a bifurcation parameter, the stability of the trivial steady state and the occurrence of Hopf bifurcation are investigated. The main tool to obtain our results is the Hopf bifurcation Theorem. Our results extend and complement some earlier publications.
doi:10.12988/nade.2016.51141 fatcat:6cpayl33sjfxvjpdl5y5bgpxgq