Nonlinear observer-based impulsive synchronization in chaotic systems with multiple attractors

被引：11
|
作者：
Ghosh, Dibakar [1 ,2 ]
Chowdhury, A. Roy [1 ]
机构：
[1] Jadavpur Univ, Dept Phys, Div High Energy Phys, Kolkata 700032, W Bengal, India
[2] Dinabandhu Andrews Coll, Dept Math, Kolkata 700084, W Bengal, India
来源：
NONLINEAR DYNAMICS | 2010年 / 60卷 / 04期
关键词：
Impulsive synchronization; Nonlinear observer; Newton-Leipnik system; TIME-DELAYED SYSTEMS; HYPERCHAOTIC SYSTEM; STRANGE ATTRACTORS; MOTION;
D O I：
10.1007/s11071-009-9618-5
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The issue of impulsive synchronization of the coupled Newton-Leipnik system is investigated. Based on the impulsive stability theory, nonlinear observer-based impulsive synchronization scheme is derived. A new and less conservative criteria for impulsive synchronization via nonlinear observer is proposed. The boundary of the stable regions is also estimated. One important advantage of the proposed method is that it is also applicable for the systems with more than one attractor. Numerical simulations on Newton-Leipnik system are illustrated to verify the theoretical results.
引用
收藏
页码：607 / 613
页数：7
相关论文
共 50 条
  • [1] Nonlinear observer-based impulsive synchronization in chaotic systems with multiple attractors
    Dibakar Ghosh
    A. Roy Chowdhury
    [J]. Nonlinear Dynamics, 2010, 60 : 607 - 613
  • [2] Observer-based synchronization of chaotic systems with unknown nonlinear function
    Feki, Moez
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 39 (03) : 981 - 990
  • [3] Observer-based impulsive chaotic synchronization of discrete-time switched systems
    Zhigang Zhang
    Xinzhi Liu
    [J]. Nonlinear Dynamics, 2010, 62 : 781 - 789
  • [4] Observer-based impulsive chaotic synchronization of discrete-time switched systems
    Zhang, Zhigang
    Liu, Xinzhi
    [J]. NONLINEAR DYNAMICS, 2010, 62 (04) : 781 - 789
  • [5] Synchronization of Chaotic Systems: A Generic Nonlinear Integrated Observer-Based Approach
    Hussain, Muhammad Majid
    Siddique, Muhammad
    Almohaimeed, Ziyad M.
    Shamshad, Romaisa
    Akram, Rizwan
    Aslam, Naeem
    [J]. COMPLEXITY, 2021, 2021
  • [6] Observer-based synchronization for a class of chaotic systems
    [J]. Liu, H. (liuheng122@gmail.com), 2013, CESER Publications, Post Box No. 113, Roorkee, 247667, India (42):
  • [7] Observer-based Synchronization for a Class of Chaotic Systems
    Liu, Heng
    Gan, Ning
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 42 (12): : 167 - 173
  • [8] Adaptive, Observer-Based Synchronization of Different Chaotic Systems
    Kabzinski, Jacek
    Mosiolek, Przemyslaw
    [J]. APPLIED SCIENCES-BASEL, 2022, 12 (07):
  • [9] IMPULSIVE CONTROL OF CHAOTIC ATTRACTORS IN NONLINEAR CHAOTIC SYSTEMS
    马军海
    任彪
    陈予恕
    [J]. Applied Mathematics and Mechanics(English Edition), 2004, (09) : 971 - 976
  • [10] Impulsive control of chaotic attractors in nonlinear chaotic systems
    Ma, JH
    Ren, B
    Chen, YS
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2004, 25 (09) : 971 - 976
12345