Stability, Synchronization And Periodicity Of Fractional-Order Bidirectional Associative Memory Neural Networks

Neural dynamics system is a discipline which is combinated by neural networks and dynamic systems.Most of systems are very complicated in real life.The fractional differential model describes the dynamic changes and processes of physics?engineering systems,?medical machinery and so on.So it is valuable to study the fractional-order neural network system.This paper mainly investigated the stability,synchronization and periodic of fractional-order bidirectional associative neural network with time-delay.Using Caputo fractional derivative theory,Mittag-Leffler function and Razumikhin-type theorems,the dynamic evolution characteristics of the systems are analyzed and the theoretical criterion of system stability,synchronization and periodic are obtained.The main works are as follows:The global asymptotic stability and synchronization of delayed fractional-order bidirectional associative memory neural network are studied via the theory of fractional differential equations,Laplace transform and Leibniz theorem.Under the linear feedback controller and select the appropriate Lyapunov function,several conditions of the boundedness and globally asymptotically?-periodicity for fractional-order bidirectional associative memory neural network are obtained.A new idea is provided for the periodicity of fractional-order neurodynamics systems with time delays.