Chaos synchronization of coupled map-based neurons under external electrical stimulation via decoupling feedback linearization control

In this paper, synchronization dynamics of two map-based neurons being electrically coupled with gap junction in external electrical stimulation is studied. In order to realize the synchronization of all state variables in the neural system, we regard the nonlinear feedback system as a multi-input multi-output (MIMO) system. The feedback linearization control schemes are introduced to synchronize two coupled chaotic neurons. The simulations given in the paper demonstrate the effectiveness of the developed control method.