Chaotic synchronization of hindmarsh-rose neural networks using special feedback function

Authors:
HongJie Yu;JianHua Peng
Affiliations:
Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai, China;Institute for Brain Information Processing and Cognitive Neurodynamics, School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China
Venue:
ICIC'06 Proceedings of the 2006 international conference on Intelligent Computing - Volume Part I
Year:
2006

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Self-organised dynamic recognition states for chaotic neural networks

Information Sciences—Informatics and Computer Science: An International Journal - Special issue on recent advances in soft computing

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Abstract

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.