Hopf bifurcation via the Poincaré procedure in delay-differential equations with two delays
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- Hbid, M.L., Sánchez, E. & Ouifki, R. Rev Mat Complut (2013) 26: 193. doi:10.1007/s13163-012-0099-6
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In this work we apply the theory of h-asymptotic stability related to the Poincaré procedure to establish sufficient conditions for the existence of a Hopf bifurcation for a delayed differential equation with two constant delays, considering one of the delays as a parameter. An explicit calculation of the Poincaré constant G4 is provided.