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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2017, Vol. 34 ›› Issue (3): 321-330.doi: 10.3969/j.issn.1005-3085.2017.03.008

• • 上一篇    

不同阶数不同维数的分数阶混沌系统的时滞混合投影同步（英）

张玮玮,   陈定元   

  1. 安庆师范大学数学与计算科学学院，安庆  246011
  • 收稿日期:2014-12-10 接受日期:2016-10-12 出版日期:2017-06-15 发布日期:2017-08-15
  • 基金资助:
    国家自然科学基金(11571016)；安徽省自然科学基金(1608085MA14)；安徽省高等学校自然科学基金(KJ2015A152).

Hybrid Projective Synchronization of Different Dimensional Fractional Order Chaotic Systems with Time Delay and Different Orders

ZHANG Wei-wei,   CHEN Ding-yuan   

  1. School of Mathematics and Computational Science, Anqing Normal University, Anqing 246011
  • Received:2014-12-10 Accepted:2016-10-12 Online:2017-06-15 Published:2017-08-15
  • Supported by:
    The National Natural Science Foundation of China (11571016); the Natural Science Foundation of Anhui Province (1608085MA14); the Natural Science Foundation of the Higher Education Institutions of Anhui Province (KJ2015A152).

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摘要： 本文主要讨论了不同阶数不同维数的分数阶混沌系统的时滞混合投影同步．基于分数阶微积分的基本性质，将两个不同阶数的分数阶混沌系统转换为两个同阶的分数阶混沌系统．然后，利用分数阶线性系统的稳定性理论，并构造一个非线性控制器，得到了同步的一般方法．数值模拟证实了设计方法的有效性．

关键词: 混合投影同步, 不同维数, 时滞, 不同阶数

Abstract: In this paper, the hybrid projective synchronization of different dimensional fractional order chaotic systems with time delay and different orders is discussed. Based on the basic properties of fractional calculus, two different order fractional-order chaotic systems are transformed into the same order ones. Then, by using the stability theory of fractional order linear systems and constructing a nonlinear controller for the obtained systems with same order, a general scheme for synchronization of the considered systems is proposed. Some numerical simulations demonstrate the effectiveness of the proposed method.

Key words: hybrid projective synchronization, different dimensional, time delay, different order

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