关键词: 新超混沌系统, 相图, 分岔图, Lyapunov指数谱图, 线性反馈同步, 实验电路

Abstract: In order to generate complex hyperchaotic, a new fourdimensional Tang hyperchaotic system based on Tang system is built. The phase diagram，bifurcation diagram and Lyapunov exponents spectrum diagram of the system are analyzed by means of numerical simulations．Numerical simulations show that the new systems dynamics behavior can be periodic, quasiperiodic, chaotic and hyperchaotic as the parameter varies. Compared to the previous hyperchaotic, the system possess the large change range with new parametersk  , and the system changes with k  and p show the same dynamic behavior and a certain proportion. Linear controller is designed to realize synchronization of the hyperchaotic system. Results demonstrate that the method is correct and effective. Finally, a corresponding experimental circuit is designed. The hyperchaotic dynamical behavior of the circuit system and synchronization results of the driver system as well as response system are observed by an oscilloscope. The results are basically consistent with those of digital simulation. 

Key words: novel hyperchaotic system, phase diagram, bifurcation diagram, Lyapunov exponents spectrum, linear feedback synchronization, experimental circuit