Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order

被引：1
|
作者：
Chai, Yi [1 ,2 ]
Chen, Liping [1 ,2 ]
Wu, Ranchao [3 ]
机构：
[1] Chongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400030, Peoples R China
[2] Chongqing Univ, Sch Automat, Chongqing 400030, Peoples R China
[3] Anhui Univ, Sch Math, Hefei 230039, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
ANTI-SYNCHRONIZATION; CHAOS SYNCHRONIZATION; CALCULUS;
D O I：
10.1155/2012/762807
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper mainly investigates a novel inverse projective synchronization between two different fractional-order hyperchaotic systems, that is, the fractional-order hyperchaotic Lorenz system and the fractional-order hyperchaotic Chen system. By using the stability theory of fractional-order differential equations and Lyapunov equations for fractional-order systems, two kinds of suitable controllers for achieving inverse projective synchronization are designed, in which the generalized synchronization, antisynchronization, and projective synchronization of fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system are also successfully achieved, respectively. Finally, simulations are presented to demonstrate the validity and feasibility of the proposed method.
引用
收藏
页数：18
相关论文
共 50 条
  • [31] Generalized projective lag synchronization between different hyperchaotic systems with uncertain parameters
    Xiang-Jun Wu
    Hong-Tao Lu
    Nonlinear Dynamics, 2011, 66 : 185 - 200
  • [32] Fractional sliding mode surface controller for projective synchronization of fractional hyperchaotic systems
    Sun Ning
    Zhang Hua-Guang
    Wang Zhi-Liang
    ACTA PHYSICA SINICA, 2011, 60 (05)
  • [33] Generalized projective lag synchronization between different hyperchaotic systems with uncertain parameters
    Wu, Xiang-Jun
    Lu, Hong-Tao
    NONLINEAR DYNAMICS, 2011, 66 (1-2) : 185 - 200
  • [34] Synchronization between two different fractional-order chaotic systems
    Xu, Chen
    Wu, Geng
    Feng, Jian-Wen
    Zhang, Wei-Qiang
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2008, 9 (01) : 89 - 95
  • [35] Adaptive synchronization between different fractional hyperchaotic systems with uncertain parameters
    Hu Jian-Bing
    Han Yan
    Zhao Ling-Dong
    ACTA PHYSICA SINICA, 2009, 58 (03) : 1441 - 1445
  • [36] Synchronization for fractional order hyperchaotic Chen system and fractional order hyperchaotic Rossler system with different structure
    Li Dong
    Deng Liang-Ming
    Du Yong-Xia
    Yang Yuan-Yuan
    ACTA PHYSICA SINICA, 2012, 61 (05)
  • [37] Generalized Projective Synchronization of Fractional Order Chaotic Systems with Different Dimensions
    Wang Sha
    Yu Yong-Guang
    CHINESE PHYSICS LETTERS, 2012, 29 (02)
  • [38] A new method for projective synchronization of different fractional order chaotic systems
    Huang Li-Lian
    Ma Nan
    ACTA PHYSICA SINICA, 2012, 61 (16)
  • [39] Hybrid projective synchronization of chaotic fractional order systems with different dimensions
    Wang, Sha
    Yu, Yongguang
    Diao, Miao
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (21) : 4981 - 4988
  • [40] Modified impulsive synchronization of fractional order hyperchaotic systems
    Fu Jie
    Yu Miao
    Ma Tie-Dong
    CHINESE PHYSICS B, 2011, 20 (12)
12345