On The Dynamical Behaviors Of Two Types Dynamics System

Since population and neural networks have enormous potential in wide varieties ofapplications, many specislists and scholars apply themselves to the research of the theoryand achieve many perfect productions for persistence, attractivity, stability and so on.The main contents in this paper can be summarized as follows:Firstly, in the first chapter, we introduce the developmental process, significance andresearch results of neural networks and population. Then introduce the research resultsof Kolmogorov system and Fuzzy. Finally, the organization of this paper is given.In the second chapter, discrete Kolmogorov system are considered. Su?cient condi-tions which guarantee the permanence and the global attractivity of positive solutions ofthe model are obtained.In the third chapter, By using the fixed point theorem and di?erential inequalitytechniques, we study the existence, uniqueness and global exponential stability of almostperiodic solutions for fuzzy cellular neural networks (FCNNs) with neutral time-varyingdelays. Several new su?cient conditions are derived.In the forth chapter, This paper deals with the problems of asymptotical stabilityin mean square for a class of impulsive stochastic high-order BAM neural networks withmixed delays and Markovian jumping parameters. Based on Lyapunov stability theory,linear matrix inequlity (LMI) and mathematics induction, some su?cient conditions arederived for the asymptotical stability in mean square of the equilibrium point of the neuralnetworks.