The chaotic synchronizations of Hindmarsh-Rose (HR) neurons networks linked using the nonlinear coupling feedback functions constructed specially are discussed. The method is an expansion of SC method based on the stability criterion. The stable chaotic synchronization can be achieved without calculation of the maximum Lyapunov exponent when the coupling strength is taken as reference value. The efficiency and robustness of this approach are verified theoretically and numerically. We find that the phenomenon of the phase synchronization occurs in a certain region of coupling strength in the case of networks with three neurons. It is shown that with increasing of the number of the coupled neurons, the coupling strength satisfying stability equation of synchronization decreases in the case of all-to-all coupling. Besides, the influences of noise to synchronization of two coupling neurons are given.
['Hongjie Yu', 'Jianhua Peng']
Chaotic synchronization of hindmarsh-rose neural networks using special feedback function