In this paper, the complete synchronization and antiphase synchronization between the 3dimensional chaotic system and 4dimensional hyperchaotic system with different dimension and fractional order are researched in which the fractionalorder Lü chaotic system and the fractionalorder Chen hyperchaotic system are as an example. First, Based on the fractional theory of stability and nonlinear dynamic theory. the nonlinear controller is designed, and by the nonlinear controller the complete synchronization and antiphase synchronization between different the 3D fractionalorder chaotic system and 4D fractionalorder hyperchaotic system with different dimension and fractional order are realized. Second, based on the fractionalorder theory of stability the two kind of synchronization are respectively proved strictly in mathematics. Finally, by the PredictorCorrector scheme numerical simulation, the validity of the method presented in this paper is verified.
董俊,张广军,姚宏,王珏,许根.分数阶异结构超混沌系统完全同步与反相同步控制[J].动力学与控制学报,2014,12(2):119~126; Dong Jun, Zhang Guangjun, Yao Hong, Wang Jue, Xu Gen. The control of complete synchronization and anti-phase synchronization for fractional-order hyper-chaotic systems of different structures[J]. Journal of Dynamics and Control,2014,12(2):119-126.复制