一类不同分数阶统一混沌系统间的修正广义函数射影同步

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英文篇名：A Modified Generalized Functional Projective Synchronization in the Different Fractional-Order Unified Chaotic Systems 作者：孙玉琴 ; 于永光 英文作者：SUN Yu-qin;YU Yong-guang;Ordos Institute of Technology;Department of Mathematics,Beijing Jiaotong University; 关键词：分数阶 ; 函数射影同步 ; 统一混沌系统 ; 微分不等式 英文关键词：fractional order;;functional projective synchronization;;unified chaotic system;;differential inequality 中文刊名：NMGX 英文刊名：Journal of Inner Mongolia University(Natural Science Edition) 机构：鄂尔多斯应用技术学院;北京交通大学理学院; 出版日期：2018-05-15 出版单位：内蒙古大学学报(自然科学版) 年：2018 期：v.49;No.219 基金：国家自然科学基金(11371049) 语种：中文; 页：NMGX201803005 页数：7 CN：03 ISSN：15-1052/N 分类号：26-32

摘要

研究了一类不同分数阶统一混沌系统间的修正广义函数射影同步.利用分数阶微分非线性系统Lyapunov稳定性理论以及分数阶微分不等式,对于参数已知和参数未知的一类不同分数阶统一混沌系统,分别设计两种新的控制器来实现混沌系统间的修正广义函数射影同步.通过数值仿真,结果证明了该方法的有效性.
        A modified general functional projective synchronization in a class of different fractional-order unified chaotic systems is investigated.Two new control schemes are presented to bring the different fractional-order unified chaotic systems into a modified generalized functional projective synchronization based on the Lyapunov stability theory and the fractional-order differential inequality.Numerical simulations are given to illustrate the effectiveness of the method presented.

引文

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