Chaotic control of Henon map with feedback and nonfeedback methods

被引:17
|
作者
Wang, Tianshu [1 ]
Wang, Xingyuan [1 ]
Wang, Mingjun [1 ]
机构
[1] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Liaoning, Peoples R China
基金
中国国家自然科学基金;
关键词
Discrete system; Henon map; Chaotic control; Feedback method; Minimum energy method; Bifurcation; UNSTABLE FIXED-POINTS; SYSTEMS;
D O I
10.1016/j.cnsns.2010.11.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, based on the stability theorem of discrete systems and the idea of less energy, which means more stability in physical systems, feedback and nonfeedback methods are used, respectively to stabilize chaotic Henon map at different p-periodic orbits. The two methods are compared in different aspects. Numerical simulations show the feasibility and effectiveness of them. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:3367 / 3374
页数:8
相关论文
共 50 条
  • [21] A Chaotic Cryptosystem for Images Based on Henon and Arnold Cat Map
    Soleymani, Ali
    Nordin, Md Jan
    Sundararajan, Elankovan
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [22] Predictive control and synchronization of Henon chaotic system
    Liu, FC
    Wang, J
    Peng, HP
    Li, LX
    ACTA PHYSICA SINICA, 2002, 51 (09) : 1954 - 1959
  • [23] Predictive control and synchronization of Henon chaotic system
    Liu, Fu-Cai
    Wang, Juan
    Peng, Hai-Peng
    Li, Li-Xiang
    1958, Science Press (51):
  • [24] Cryptographic pseudo-random sequences from the chaotic Henon map
    Suneel, Madhekar
    SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2009, 34 (05): : 689 - 701
  • [25] New Particle Swarm Optimisation Algorithm with Henon Chaotic Map Structure
    Yan Tao
    Liu Fengxian
    Chen Bin
    CHINESE JOURNAL OF ELECTRONICS, 2017, 26 (04) : 747 - 753
  • [26] An Effective Color Image Encryption Based on Henon Map, Tent Chaotic Map, and Orthogonal Matrices
    Kanwal, Shamsa
    Inam, Saba
    Ben Othman, Mohamed Tahar
    Waqar, Ayesha
    Ibrahim, Muhammad
    Nawaz, Fariha
    Nawaz, Zainab
    Hamam, Habib
    SENSORS, 2022, 22 (12)
  • [27] Control of chaos and bifurcation by nonfeedback methods in an autocatalytic chemical system
    Kannan, Karuppasamy Suddalai
    Ansari, Mohamed Ali Thameem
    Amutha, Kasinathan
    Chinnathambi, Veerapadran
    Rajasekar, Shunmuganathan
    INTERNATIONAL JOURNAL OF CHEMICAL KINETICS, 2023, 55 (05) : 261 - 267
  • [28] Is the Henon attractor chaotic?
    Galias, Zbigniew
    Tucker, Warwick
    CHAOS, 2015, 25 (03)
  • [29] An image encryption approach using tuned Henon chaotic map and evolutionary algorithm
    Babak Rezaei
    Hasan Ghanbari
    Rasul Enayatifar
    Nonlinear Dynamics, 2023, 111 : 9629 - 9647
  • [30] Image cryptosystem based on modified Henon chaotic map and dynamic encoding mechanism
    S. J. Sheela
    K. V. Suresh
    Deepaknath Tandur
    A. Sanjay
    Surya Embar
    T. S. Rajani
    Multimedia Tools and Applications, 2022, 81 : 40253 - 40268