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
  • [1] Synchronization between Two Different Fractional Order Hyperchaotic Systems
    Zhang, Weiwei
    Chen, Dingyuan
    MANUFACTURING PROCESS AND EQUIPMENT, PTS 1-4, 2013, 694-697 : 2168 - 2171
  • [2] Adaptive synchronization between two different fractional order hyperchaotic systems
    Zhang, Weiwei
    Chen, Dingyuan
    Energy Education Science and Technology Part A: Energy Science and Research, 2014, 32 (06): : 4781 - 4788
  • [3] Chaos synchronization between two different fractional-order hyperchaotic systems
    Pan, Lin
    Zhou, Wuneng
    Zhou, Long
    Sun, Kehui
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (06) : 2628 - 2640
  • [4] Modified projective synchronization of uncertain fractional order hyperchaotic systems
    Bai, Jing
    Yu, Yongguang
    Wang, Sha
    Song, Yu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (04) : 1921 - 1928
  • [5] Synchronization (Generalized Synchronization) Between Different Fractional Order Chaotic (Hyperchaotic) Systems
    Ping, Zhou
    Feng, Cheng Xue
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 5006 - 5009
  • [6] Projective synchronization between different fractional-order hyperchaotic systems with uncertain parameters using proposed modified adaptive projective synchronization technique
    Agrawal, Saurabh K.
    Das, Subir
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (14) : 2164 - 2176
  • [7] Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems
    Chen, Liping
    Chai, Yi
    Wu, Ranchao
    PHYSICS LETTERS A, 2011, 375 (21) : 2099 - 2110
  • [8] Projective Synchronization of the Fractional Order Hyperchaotic Chen Systems Based on Linear Separation
    Shao, K. Y.
    Wang, C.
    Wang, T. T.
    Zhang, L. P.
    INTERNATIONAL CONFERENCE ON AUTOMATION, MECHANICAL AND ELECTRICAL ENGINEERING (AMEE 2015), 2015, : 350 - 357
  • [9] Dual Function Matrix Projective Synchronization for Fractional-Order Hyperchaotic Systems
    He, Jinman
    Pei, Lijun
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2023, 18 (09):
  • [10] Adaptive Modified Function Projective Synchronization between Two Different Hyperchaotic Dynamical Systems
    El-Dessoky, M. M.
    Yassen, M. T.
    Saleh, E.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
12345