Fractional Order Chaotic Synchronization And Its Application In Secure Communication

Chaos has three characteristics: initial sensitivity,certainty and unpredictability make its motion behavior different from the traditional deterministic motion and random motion.In recent years,chaos has been widely studied in secure communication and information encryption,and its development field is also more extensive.Compared with the whole order chaos system,the fractional order chaos model has more objectivity and complexity,so it can improve the security level of communication system.The premise of fractional order chaos encryption is to synchronize the fractional order system,so synchronization is the core of the encryption of fractional chaotic system.In this paper,according to the dynamic characteristics of fractional order Genesio-Tesi system and fractional order multi scroll MAC system and the influence of order on chaotic system,the order range of chaotic system is calculated by MATLAB simulation.It is found that the attractor of Genesio-Tesi system is different in different chaotic range,and it can be changed from single scroll to double scroll.By adding a nonlinear term to the MAC chaotic model,the attractor can be changed from double scroll to multi scroll,resulting in more complex chaotic behavior.The state observer based projective synchronization method is used to study the synchronization of fractional order Genesio-Tesi system.The pole assignment method is used to calculate the appropriate observer to complete the self synchronization of the system.On this basis,the encryption and decryption of the signal are realized.The self synchronization of fractional order MAC system is studied by using activation control method,and the controller suitable for the system is selected to make the two systems achieve complete synchronization.When using the system for secure communication,based on the linear stability theory,the signal encryption and decryption are realized,and the correctness of the two synchronization schemes is verified.In addition,based on the circuit theory,the fractional order chaotic system circuit is designed,the circuit model is established,and the component parameters are set.The Multisim software simulation shows that the circuit simulation results are consistent with the numerical simulation results.