【作者】 董俊； 张广军； 王少英； 李琼瑶；

【Author】 Dong Jun;Zhang Guangjun;Wang Shaoying;Li Qiongyao;The First Aeronautical Institute of Air Force;College of Science, Air Force Engineering University;Yellow River Communications Institute;Nanjing-Shanghai Speedway Limited-liability Company;

【机构】 空军第一航空学院； 空军工程大学理学院； 黄河交通学院； 江苏省宁沪高速公路股份有限公司；

【摘要】 本文研究了分数阶混沌系统与整数阶混沌系统之间的同步。首先,利用分数阶稳定性理论,对上述同步给出了严格的数学证明。其次,基于分数阶系统稳定性理论和非线性动力学理论,构造出相应的非线性控制器,由此实现了分数阶混沌金融系统与整数阶混沌金融系统之间的同步。最后,借助于预估-校正算法,利用数值模拟验证了所提方法的有效性。更多还原

【Abstract】 In this paper, the synchronization between the fractional-order chaotic system and the chaotic system of integer orders is researched. First, based on the fractional-order theory of stability the synchronization is proved strictly in mathematics. Second, based on the fractional theory of stability and nonlinear dynamic theory, the nonlinear controller is designed. And by the nonlinear controller the synchronization between the fractional-order chaotic financial system and the chaotic financial system of integer orders is realized. Finally, by the Predictor-Corrector scheme numerical simulation, the validity of the presented method is verified.更多还原