参数不确定的不同分数阶的混沌系统的自适应同步  

Adaptive Synchronization Between Two Fractional-Order Chaotic Systems with Uncertain Parameters

作　　者：李东[1] 张兴鹏[1] 胡玉婷[1] 杨媛媛[2] 

机构地区：[1]重庆大学数学与统计学院,重庆401331 [2]重庆大学物理学院,重庆401331

出　　处：《西南大学学报（自然科学版）》2015年第11期69-76,共8页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11202249);中央高校基本科研业务费专项资金(CQDXWL-2013-002)

摘　　要：基于追踪器的思想讨论了参数不确定的分数阶混沌系统的自适应同步问题.应用两种不同的方法来实现同步.一种方法为构造合适的控制器从而得到和响应系统相同阶的误差系统,进而应用分数阶系统稳定的理论;另一种为构造一个新的响应系统,把分数阶系统转换为整数阶系统,进而利用Lyapunov稳定性理论.选取Chen系统和Qi系统进行数值模拟验证结论的有效性.并与已有的针对不同阶系统同步的Laplace变换方法进行比较.Adaptive synchronization between two fractional‐order chaotic systems with uncertain parame‐ters are discussed based on the tracking thought .Two methods are used to realize the synchronization .One is to construct an appropriate controller to let the error system have the same order with the response sys‐tem .Then the stability theory of fractional order is applied .The other is to construct a new response sys‐tem whose order is an integer .Next ,the Lyapunov stability theory is applied .Then Chen system and Qi system are selected to verify the effectiveness of the conclusions obtained from the two methods .Finally ,a comparison is made between the method of Laplace transformation ,which has been used to solve the syn‐chronization of systems with different orders ,and the methods proposed in our study .

关 键 词：不同阶 参数不确定 自适应同步 分数阶混沌系统 

分 类 号：O415.5[理学—理论物理] TP273[理学—物理]