Projective Synchronization Of The Fractional-order Hyperchaotic Systems Based On Linear Separation

The Chaos theory is the prioritiest important of the nonlinear science. The Chaos phenomenon is widely spread, especially in the natural and social sciences. The synchronization of Chaotic systems is always one of the hot spots in depth research.Hyperchaotic system can at least make larger or smaller acts in torus or above, a more complex dynamic characteristics, it’s behavior is more complex, so the synchronization of Hyperchaotic system is a challenge. The stability theory of Fractional order Chaotic systems is not yet mature development of integer order stability theory. Synchronization theory of Fractional order Chaotic systems will be limited to a certain extent. The Fractional Hyperchaotic System has more complex dynamic characteristics, it can make a great contribution in the field of Engineering,so the synchronization of Fractional Hyperchaotic System has become a quite meaningful project. This paper carries out the following research contents:1 Projective Synchronization of Fractional order Hyperchaotic Lorenz systemThe thinking in the design of nonlinear observer based on improved generalized projective synchronization, the four-dimensional fractional order hyperchaotic Lorenz system. The drive system and response system in the vector signal given a synchronous transmission of hyperchaotic Lorenz in fractional order, and then through the pole placement controller design form a four-dimensional autonomous ordinary differential equations, so as to realize the generalized projective synchronization of fractional order hyperchaotic Lorenz system.2 Projective Synchronization between Fractional order Hyperchaotic Chen systemTo realize the linear separation of fractional order hyperchaotic Chen system. In four dimensional hyperchaotic Chen system as the driving system, the controller is added in the fractional hyperchaotic Chen system with the response of the structure system, realize the projective synchronization of drive response system. And based on the PI under the control of the controller design, realize the projective synchronization of fractional order hyperchaotic Chen system.3 Research on hyperchaotic system projective synchronization of fractional order based on linear separationThe linear separation method is applied to fractional order hyperchaotic Chen system and fractional order hyperchaotic Lorenz system, compared with other synchronization methods, the superiority of this method, and the other in the fractional order hyperchaotic system, also verified the feasibility of the linear separation.