The Chaotic Synchronization of Hindmarsh-Rose Neural Networks
Hindmarsh-Rose 神经网络的混沌同步

The chaotic synchronizations of neural networks linked by a nonlinear coupling function were discussed.The method was an expansion of SC method of chaotic synchronization based on the stability criterion.The evolutional equation of the difference was provided for calculating the synchronization stability.The stable chaotic synchronization could be achieved without calculation of the maximum conditional Lyapunov exponent when the coupling strength was taken as reference value.H-R neural network according to all-to-all form are treated as numerical example.It was shown that the stability region of coupling strength of numerous coupling neurons for achieving chaotic synchronization each other could be expected from estimating stability region of two coupling neurons only.Besides,the authors found that with increasing of the number of the coupled neurons,the coupling strength of satisfying stability equation of synchronization decreased.In order to achieve synchronization of a great deal coupling neurons in a network,we only need very low coupling strength.This method is still robust for chaotic synchronization even if with the influence of noise.