The anti-synchronization of a class of delayed neural networks is studied. Based on Lyapunov stability theory and Halanay inequality lemma, a controller is designed to realize anti-synchronization of delayed neural networks. Namerical simulation of two representative delayed neural networks demonstrates effectiveness of the proposed anti-synchronlzation scheme.

Nonlinear prediction and RBF (Radial Basis Functions) neural network prediction of EEG(Electroencephalogram) signal in a Liley model are studied by phase graph and NLCP (Nonlinear Cross-Prediction).It concluded that:1) RBF neural network prediction is better than nonlinear prediction;2) NLCP method is adaptive to time series with strong periodic components;3) support the exist of chaos in EEG signals.

Regarding to degeneration of dynamics characteristics in a traditional single chaotic system,we propose a switch controller chaos pseudo random bit generator(SCS-PRBG) based on multiple chaotic systems and switch control.Theoretic analysis of random key stream and its performance show that the key stream has better randomicity and security.With parallel computation,the speed of encryption is improved. The expriment indicates better security of this algorithm.

We design a controller for uncertain Lorenz systemes with multiple inputs containing sector nonlinearity and deadzones,and demonstrate its effectiveness theoretically.With this controller the controlled Lorenz system drives system orbits asymptotically to arbitrarily objective trajectories evenif there exist uncertainties,deadzones and sector nonlinearities in the inputs.Finally,by emulation studies of controlled Lorenz systems,effectiveness of the controller is demonstrated.

The chaos in human body provides a sort of healthy adaptability, it seems to be the reflection of selection and adaptability in the process of the evolution of the life. Then, can the chaos be regarded as a motive power of the process of the evolution of species? In answer to this, the experiments have been conducted on sample cardioelectrical signals of human being and the canines, Through the analyses of the power spectra to a large of cardioelectrical signals, the following conclusions are shown:(1) The analyses of the power spectra to cardioelectrical signals reflect the whole dynamic characteristics of the heart, it may become a new method as a sort of quantitative researches on eletrocardiogram to early diagnose the heart disease. (2) Under normal physiological conditions the cardiac activities are chaotic, however under pathologic conditions the cardiac activities approach regularity. (3) On the basis of the comparative research of human being and the canines, the hypothesis is proposed that chaos would become more significant in the warke of the evolution of species. If the hypothesis is right, it would be a beginning of the new theory on the evolution of species.