Synchronization of Ghostburster neurons under external electrical stimulation via adaptive neural network H∞ control

In this paper, an adaptive neural network H∞ control is proposed to realize the synchronization of two Ghostburster neurons under external electrical stimulation. We first analyze the periodic and chaotic dynamics of individual Ghostburster neuron under different external electrical stimulations, then design a H∞ controller via adaptive neural networks to synchronize two Ghostburster neurons and drive the slave neuron to act as the master one. Asymptotic synchronization can be obtained by proper choice of the control parameters. Simulation results demonstrate the effectiveness of the proposed control method.