On the detection of the generalized synchronization in the complex network with ring topology

被引:6
作者
Lynnyk, Volodymyr [1 ]
Rehak, Branislav [1 ]
Celikovsky, Sergej [1 ]
机构
[1] Czech Acad Sci, Inst Informat Theory & Automat, Prague 18200, Czech Republic
来源
2020 EUROPEAN CONTROL CONFERENCE (ECC 2020) | 2020年
关键词
SYSTEMS; CHAOS; PHASE;
D O I
10.23919/ecc51009.2020.9143976
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the generalized synchronization in a complex network consisting of nodes being chaotic systems is studied. The main focus is on the applicability of the auxiliary system approach for the detection of the generalized synchronization phenomena in the complex networks with ring topology. It will be shown analytically and by numerical simulations that this method is applicable for the detection of the generalized synchronization in the unidirectional complex networks with nodes being the generalized Lorenz systems connected in a closed chain.
引用
收藏
页码:1955 / 1960
页数:6
相关论文
共 35 条
[1]   Generalized synchronization of chaos: The auxiliary system approach [J].
Abarbanel, HDI ;
Rulkov, NF ;
Sushchik, MM .
PHYSICAL REVIEW E, 1996, 53 (05) :4528-4535
[2]  
Afraimovich V. S., 1986, Radiophysics and Quantum Electronics, V29, P795, DOI 10.1007/BF01034476
[3]  
[Anonymous], 2018, Synchronization: From Coupled Systems to Complex Networks
[4]   The synchronization of chaotic systems [J].
Boccaletti, S ;
Kurths, J ;
Osipov, G ;
Valladares, DL ;
Zhou, CS .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101
[5]   Secure synchronization of a class of chaotic systems from a nonlinear observer approach [J].
Celikovsky, S ;
Chen, GR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (01) :76-82
[6]   Robust synchronization of a class of chaotic networks [J].
Celikovsky, S. ;
Lynnyk, V. ;
Chen, G. .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (10) :2936-2948
[7]   On a generalized Lorenz canonical form of chaotic systems [J].
Celikovsky, S ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (08) :1789-1812
[8]   Observer-based chaos synchronization in the generalized chaotic Lorenz systems and its application to secure encryption [J].
Celikovsky, Sergej ;
Lynnyk, Volodymyr ;
Sebek, Michael .
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, :3783-3788
[9]  
Chen G., 2014, Fundamentals of complex networks: models, structures and dynamics, V2nd ed.
[10]   STABILITY THEORY OF SYNCHRONIZED MOTION IN COUPLED-OSCILLATOR SYSTEMS [J].
FUJISAKA, H ;
YAMADA, T .
PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (01) :32-47