Several Classes Of Modified Projective Synchronization Of Chaotic Systems

The chaos synchronization is exert control to chaos system, the system of the orbit and the others gradually incline to agree. Due to the chaotic system is sensitive to the initial value, people thought that chaos synchronization is impossible. Since Pecora and Carroll found that two chaotic systems could achieve synchronization and put forward the concept and method of chaos synchronization in1990, chaos synchronization has attracted a lot of attention, and change the previous idea.In recent decades, with the deepening of the research of chaos synchronization, people found it have a great of prospect in secret communication and concussion gen-erator design and so on. So it is in many fields caused with attention. Up to now. people found many chaotic synchronization approach, such as completely synchro-nization, phase synchronization, generalization, lag synchronization and projective synchronization etc. Because of the projective synchronization has the unpredictable factor can be further the safety of secret communication transmission rate, it has potential application prospect in the secret communication field and it was extensive research in recently.At present, most chaos projective synchronization is based on the same constant proportion, but for the different factor and function scaling factor is less research. Due to the different proportion factors and the change can be further increased se-curity communication, so the chaotic system projective synchronization problems research have very important theoretical significance and application value. The article mainly aims is research the modified projective synchronization of the chaos system, and proposes the under various conditions to the synchronized controller design and methods. And the article mainly introduces the modified projective syn-chronization, function projective synchronization and modified function projective synchronization,and the work of the paper mainly as follows. In chapter one, we first introduced the background knowledge of chaos, the introduces the definition of chaos and the concept of chaos synchronization; describes the methods of synchronization and research progress.In chapter two, we through the methods of added-order to achieved the modified projective synchronization of different dimension chaos system.In chapter three, we use adaptive method to achieve the function projective synchronization of two new hyperchaotic systems.At last in chapter four, we further introduces the modified function projective synchronization of two hyperchaotic systems.