Fractional Order Cellular Neural Network Circuit Design And Synchronous Control

Cellular Neural Network(CNN)is a nonlinear feedback neural network which combine the advantages of cellular automata and Hopfield neural network.Local connectivity between its various nerve cells makes it easy to build very large scale integration(VLSI).Chaotic behavior is a focus in nonlinear science area.By constructing an appropriate cellular neural network system can produce a stable chaotic phenomenon.In recent years,the use of cellular neural network system to produce chaos phenomenon in signal processing,image processing,secure communications and other fields has been widely used.This paper conducted a depth research in Fractional Cellular neural networks,and built one which could produce a stable chaotic.At the same time designed a new driver-response synchronization controller and adaptive parameter regulation to achieve Fractional cellular neural networks synchronization.Works and conclusions of this paper include the following:1.Cellular Neural Networks Systems is a nonlinear system,with rich dynamic behavior,we study the properties of fractional order chaotic three-dimensional cellular neural network system and its circuit implementation.Through nonlinear dynamics analysis,numerical calculation and circuit simulation,the existence of chaotic attractor and realizability in physical about the system were verified.At the same time,studied the system's chaotic characteristics under the conditions of different combination about fractional order q_i(i=1,2,3),by adjusting the linear parameter b.According to the theoretical analysis of each unit circuit of fractional-order circuit,designed a corresponding fractional order cellular neural networks system,which has variable parameter b and switchable q_i.Statically,the design can realize 13824 kinds of multiple combination circuits.This paper selects several representative combinational circuits for circuit simulation.The simulation results show that multiple circuit simulation and numerical simulation have similar chaos phase diagram,which confirmed the system still has rich dynamic characteristics under the condition of the fractional-order,also has flexible application value and realistic significance.2.The design parameters of the adaptive synchronization controller and adaptive law to achieve Fractional cellular neural network system drive-response system synchronization.Based on a new fractional order cellular neural networks system,a driver-response system is built,which the nonlinear in the driver system is known,while in response is not.Using the adaptive synchronization controller and adaptive adjustment law to make the driver-response system synchronized.Numerical simulation and dynamic analysis results show that the new system of fractional order cellular neural networks has chaotic characteristics and the correctness of the adaptive synchronization control method.Combining the theory of fractional order circuit designed the synchronous control circuit schematic diagram of the new fractional order cellular neural networks system.In fact,this scheme can realize 4096 kinds of multi-combination circuits.Selected the same fractional-order values(namely q1=q2=q3=0.95)for circuit simulation.The simulation results showed that multiple circuit simulation and numerical simulation results had high inosculation.Thus it is proved that the adaptive synchronization control method can be realized in physics and has practical application value in engineering field.