不同阶次的分数阶复值混沌系统的广义投影同步和广义错位投影同步  

Generalized projective and dislocated projective synchronization of fractional-order complex-valued chaotic systems with different orders

作　　者：王志成 王震 WANG Zhicheng;WANG Zhen(College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao,Shandong 266590,China)

机构地区：[1]山东科技大学数学与系统科学学院,山东青岛266590

出　　处：《山东科技大学学报（自然科学版）》2019年第3期72-81,共10页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：国家自然科学基金项目(61573008;61473178)

摘　　要：研究了分数阶复值混沌系统的同步问题。应用不等阶次分数阶实值混沌系统的同步和复值混沌系统的同步方法,提出了广义投影同步和广义错位投影同步。针对驱动系统和响应系统阶次不相同的情况,基于分数阶非线性系统稳定性理论,以复值分数阶Chen系统为例,运用自适应控制方法设计反馈控制器,将不等阶分数阶复值系统同步问题转化为可以讨论的等阶复值系统同步问题,并通过理论分析和数值仿真验证了该理论的有效性。In this paper study on synchronization of fractional-order complex-valued chaotic systems is presented. The generalized projective as well as dislocation projective synchronization using the synchronization theory of different fractional-order real-valued chaotic systems and complex-valued chaotic systems is proposed. Considering the different orders of the drive and response systems,and based on stability theory of fractional order nonlinear systems,the complex-valued fractional Chen system as an example is taken. The objective is to design the feedback controller by using the self-adaptive control method and transform the synchronization problem of unequal-order fractional complex-valued system into the achievable synchronization problem of same order complex-valued systems. Theoretical analysis and numerical simulation experiments were then carried out to verify the validity of the theory.

关 键 词：分数阶 复值 混沌 同步 

分 类 号：N941.3[自然科学总论—系统科学] N941.7