Energy variation rate synchronization for coupled chaotic systems

被引：6
|
作者：
Yao, Zhao [1 ]
Sun, Kehui [1 ]
He, Shaobo [2 ]
机构：
[1] Cent South Univ, Sch Phys, Changsha 410083, Peoples R China
[2] Xiangtan Univ, Sch Automat & Elect Informat, Xiangtan 411105, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2024年 / 184卷
关键词：
Chaos synchronization; Synchronization principle; Energy variation rate; Field coupling; PROJECTIVE SYNCHRONIZATION;
D O I：
10.1016/j.chaos.2024.114970
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
There are currently two typical principles for chaotic synchronization, the Lyapunov stability principle and the conditional Lyapunov exponent criterion. We describe an alternate chaos synchronization principle using the time derivative of the energy function. The equal energy variation leads to synchronization between two chaotic systems. We elaborate the proposed mechanism in two chaotic synchronization cases, including synchronization of two simplified Lorenz systems and the field coupling synchronization of the chaotic FitzHugh-Nagumo neuronal systems. The theoretical proof and experimental results verify the correctness of the new synchronization mechanism, and it can be applied to synchronization of other chaotic systems.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] Controlling projective synchronization in coupled chaotic systems
    Zou Yan-Li
    Zhu Jie
    CHINESE PHYSICS, 2006, 15 (09): : 1965 - 1970
  • [2] Function projective synchronization in coupled chaotic systems
    Du, Hongyue
    Zeng, Qingshuang
    Wang, Changhong
    Ling, Mingxiang
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) : 705 - 712
  • [3] Approximate synchronization of strongly coupled chaotic systems
    Wu Ye
    Xiao Jing-Hua
    Zhan Meng
    ACTA PHYSICA SINICA, 2007, 56 (09) : 5119 - 5123
  • [4] Synchronization of coupled chaotic FitzHugh-Nagumo systems
    Aqil, Muhammad
    Hong, Keum-Shik
    Jeong, Myung-Yung
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (04) : 1615 - 1627
  • [5] SYNCHRONIZATION OF MULTIPLE CHAOTIC SYSTEMS COUPLED IN A RING STRUCTURE
    Chen, Hsien-Keng
    Lin, Tsung-Nan
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2011, 25 (20): : 2665 - 2679
  • [6] The Synchronization of N Cascade-Coupled Chaotic Systems
    Li, Pengyu
    Du, Juan
    Li, Shouliang
    Zheng, Yazhao
    Jia, Bowen
    COMPLEXITY, 2019, 2019
  • [7] ON THE SYNCHRONIZATION OF COUPLED CHAOTIC SYSTEMS WITH ZERO LYAPUNOV EXPONENTS
    Erjaee, G. H.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2008, 32 (A3): : 183 - 190
  • [8] Some synchronization criteria for bidirectionally-coupled chaotic systems
    Fuhong Min
    Zhiquan Wang
    Yong Ju
    Journal of Control Theory and Applications, 2005, 3 (3): : 235 - 240
  • [9] Projective synchronization of nonlinear-coupled spatiotemporal chaotic systems
    Xing-Yuan Wang
    Ming-Jun Wang
    Nonlinear Dynamics, 2010, 62 : 567 - 571
  • [10] GENERALIZED LAG ANTI-SYNCHRONIZATION OF COUPLED CHAOTIC SYSTEMS
    Khan, Mohammad Ali
    JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, 2015, 13 (02) : 137 - 148
12345