SYNCHRONIZATION AND CONTROL IN ENSEMBLES OF PERIODIC AND CHAOTIC NEURONAL ELEMENTS WITH TIME DEPENDENT COUPLING

The study of complete synchronization in networks of periodic and chaotic neurodynamical elements with different coupling configurations is performed. Using the connection graph stability method we obtain the sufficient conditions for achievement of synchronous behavior of all elements involved in these ensembles. The theoretical predictions we compare with the numerical results obtained for the networks composed of the classical Hodgkin-Huxley neuronal elements. The problem how to control the synchronization of networks growing in time is discussed. Copyright © 2007 IFAC