Hopf Bifurcation Analysis of a Dynamical Heart Model with Time Delay
نویسنده
چکیده
This paper presents the stability and bifurcation analysis of a dynamical model of the heartbeat with time delay. The existence of Hopf bifurcations at the positive equilibrium is established by analyzing the distribution of the characteristic values. Moreover, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are determinated by applying the center manifold theorem and the normal form theory. Mathematics Subject Classification: 34K18, 91B62
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