Abstract:

A fourdimensional hyperchaotic system is built based on the three dimensional chaotic Chen system. According to the Lyapunov stability theory, using the adaptive control method, a generalized synchronization controller is designed between the newly constructed fourdimensional hyperchaotic system and the fourdimensional hyperchaotic Chen system. The feasibility of generalized synchronization for the variable parameters estimates and the external parameter values in the controller is discussed, and then the generalized synchronization of heterogeneous systems is converted to the choice of controller. Through comparative analysis of different parameter estimates, appropriate values in the controller can be obtained to achieve the generalized synchronization. Finally, a generalized synchronization circuit is designed. The results of numerical simulation and circuit experiment demonstrate the validity of the method as well as the effectiveness and usefulness of the circuit.

Key words: hyperchaos system;parameters comparison;generalized synchronization;circuit simulation