Abstract：To achieve synchronization of two different hyperchaotic systems, controllers with adaptive feedback control are designed. Results of simulation indicate that some variables in the generalized Lorenz system take values greater than ± 15V and all output variables in the hyperchaotic Lü system are in the range of ± 15V. However, the normal working voltage of analog circuit is ± 15V. It is necessary to perform a linear transformation for the generalized Lorenz system, but it is not necessary for the hyperchaotic Lü system. The transformed generalized Lorenz system serves as a drive system, and the response system is the hyperchaotic Lü system. Based on the adaptive feedback principles, the controllers of their synchronization are designed. The simulation results show that the synchronization can be achieved between the transformed generalized Lorenz system and the hyperchaotic Lü system. On this basis, the master circuit, the slave circuit and their synchronous control circuit are designed. The transformed generalized Lorenz attractor and the hyperchaotic Lü attractor are observed through the oscilloscope. With the synchronous control circuit, the synchronization of the master and slave systems can be realized. Numerical simulation and circuit experiment results show that the synchronization between hyperchaotic systems of different structures can be reliably achieved by applying the proposed method. Furthermore, the synchronization can be achieved by adjusting parameters of the controllers, which is easy and makes a stable system.
2010, Vol. 28 
