Chaos Anti-synchronization Of The Application In Secure Communication

The synchronization and anti-synchronization of chaotic systems are hotspots in nonlinear science fields in recent years and also be the key point in secure communication. Using the methods of theoretical derivation and numerical simulation, this dissertation studies the anti-synchronization of chaotic systems as well as the application of chaos in secure communication.For two chaotic systems with the same order, firstly, an active controller is designed to realize the anti-synchronization of Lorenze chaotic system and Chen chaotic system with the known parameter by eliminating the items of erroneous system. Then, using the strategies of adaptive control for parameters and feedback control method, an adaptive controller is designed, which realizes the anti-synchronization of Lorenze chaotic system and Lu chaotic system with the unknown parameters.For two chaotic systems with different order, firstly, using the depressed-order method, we view the redundant order as distractors to translate the problem of anti-synchronization with different orders into the same order. At the same time, combining adaptive control method, the anti-synchronization of hyper-chaotic Lorenze system and the New chaotic system is realized and parts of parameters are estimated. Then, without changing the chaos characteristics of the system, using add-order method, the anti-synchronization of hyper-chaotic Lorenze system and the New chaotic system is also realized, and all of the unknown parameters are estimated. Numerical simulations with Matlab software is carried out for each method and the anti-synchronized charts of the erroneous system are drawn. Finally, the secure communication systems are set up by chaotic masking and chaotic parameter modulation, and the simulation results show that, useful signals can be recovered from the receiver system effectively.