ABSTRACT

Nonlinear systems often exhibit a collective phenomenon called synchronization when coupled in some fashion or under the influence of an external field. The study of the behavior of large populations of nonlinear oscillators is a topic of central research since the late 1960s, following the pioneering work of Winfree [1]. The topic of synchronization in coupled systems, including chaotic systems, is interesting

5.1 Introduction .................................................................................................... 79 5.2 Synchronization in Dynamical Systems .........................................................80 5.3 Neuron Structure and Neuronal Networks ..................................................... 82 5.4 Neuronal Oscillations ..................................................................................... 83

5.4.1 Membrane Potential Oscillations ....................................................... 83 5.4.2 Action Potential ..................................................................................84 5.4.3 Neuronal Oscillations and Synchronization .......................................84