BIFURCATION AND CONTROL IN AN INERTIAL TWO-NEURON SYSTEM WITH TIME DELAYS
Hong Zhao, Xiao Hong Yu, Ling Wang · International Journal of Bifurcation and Chaos · 2012
In this paper, we discuss in detail the local stability, Hopf bifurcation and pitchfork bifurcation of an inertial two-neuron system with time delays by applying the second-order approximation approach and analyzing the associated transcendental equation, respectively. Comparison has been made between the two methods. Numerical results have been presented to verify the analytical predictions. Specially, numerical examples show the time-varying control and the impulsive control which can both improve the stability of the system effectively.