Synchronization of Generalized Lorenz Systems in a Loop

被引：0
|
作者：
Rehak, Branislav [1 ]
Celikovsky, Sergej [1 ]
Lynnyk, Volodymyr [1 ]
Lynnyk, Anna [1 ]
机构：
[1] Czech Acad Sci, Inst Informat Theory & Automat, Pod Vodarenskou Vezi 4, Prague 18200, Czech Republic
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2024年 / 34卷 / 14期
关键词：
Generalized Lorenz system; synchronization; cyclic network; STABILITY; PHASE; CHAOS;
D O I：
10.1142/S0218127424501827
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The conditions for the synchronization of three interconnected generalized Lorenz systems are given. The interconnection topology contains a loop. It is shown that, under certain conditions on the strength of the coupling of the systems, the full synchronization of all three systems is guaranteed. The results are illustrated by an example.
引用
收藏
页数：14
相关论文
共 50 条
  • [21] Mutual synchronization and desynchronization of Lorenz systems
    Anishchenko, VS
    Sil'chenko, AN
    Khovanov, IA
    TECHNICAL PHYSICS LETTERS, 1998, 24 (04) : 257 - 259
  • [22] Diffusive Synchronization of Hyperchaotic Lorenz Systems
    Barboza, Ruy
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009
  • [23] Adaptive control and synchronization of Lorenz systems
    Liao, TL
    Lin, SH
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1999, 336 (06): : 925 - 937
  • [24] Synchronization of Lorenz systems by adaptive observation
    Jin, YF
    Qu, ZH
    PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 3305 - 3310
  • [25] Adaptive synchronization of two Lorenz systems
    Liao, Teh-Lu
    Chaos, solitons and fractals, 1998, 9 (09): : 1555 - 1561
  • [26] Synchronization of switchings in coupled Lorenz systems
    Silchenko, AN
    Khovanov, IA
    Anishchenko, VS
    CONTROL OF OSCILLATIONS AND CHAOS - 1997 1ST INTERNATIONAL CONFERENCE, PROCEEDINGS, VOLS 1-3, 1997, : 372 - 373
  • [27] Adaptive synchronization of two Lorenz systems
    Liao, TL
    CHAOS SOLITONS & FRACTALS, 1998, 9 (09) : 1555 - 1561
  • [28] GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER HYPERCHAOTIC LORENZ SYSTEM
    Wang, Tianshu
    Wang, Xingyuan
    MODERN PHYSICS LETTERS B, 2009, 23 (17): : 2167 - 2178
  • [29] The Design of Active Feedback Controllers for the Generalized Projective Synchronization of Hyperchaotic Qi and Hyperchaotic Lorenz Systems
    Vaidyanathan, Sundarapandian
    Pakiriswamy, Sarasu
    COMPUTER INFORMATION SYSTEMS - ANALYSIS AND TECHNOLOGIES, 2011, 245 : 231 - +
  • [30] Impulsive Control and Synchronization of Complex Lorenz Systems
    Aly, Shaban
    Al-Qahtani, Ali
    Khenous, Houari B.
    Mahmoud, Gamal M.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
12345