Tetsushi Ueta, Guanrong Chen, Chaos and Bifurcation in Coupled Networks and Their Contol, Controlling Chaos and Bifurcations in Engineering SystemsCRC Press, 581-602, Boca Raton, July 1999.
Abstract: This chapter investigates the complex dynamics and control of chaos in a system of strongly connected neural oscillators. More specifically, the existence and stability of some simple equilibria of a coupled-neuron system is first discussed. The system periodic solutions are then analyzed by using the Poincare mapping method. Bifurcation diagrams and topological properties for these periodic solutions are obtained, where synchronization phenomena are classified. Finally, a simple feedback control method for stabilizing an in-phase synchronizing periodic solution embedded in the chaotic attractor of a higher-dimensional model of such coupled neural oscillators is presented.