Synchronization analysis of complex-Variable chaotic systems with discontinuous unidirectional coupling

被引：7
作者：
Zheng, Song [1 ]
机构：
[1] Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou 310018, Zhejiang, Peoples R China
来源：
COMPLEXITY | 2016年 / 21卷 / 06期
基金：
美国国家科学基金会;
关键词：
chaotic system; complex; complete synchronization; generalized synchronization; discontinuous coupling; GENERALIZED SYNCHRONIZATION; LAG SYNCHRONIZATION; NONLINEAR-SYSTEMS; DYNAMICS; PHASE;
D O I：
10.1002/cplx.21693
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article is concerned with the problem of synchronization between two uncertain complex-variable chaotic systems with parameters perturbation and discontinuous unidirectional coupling. Based on the stability theory and comparison theorem of differential equations, some sufficient conditions for the complete synchronization and generalized synchronization are obtained. The theoretical results show that the two uncertain complex-variable chaotic systems with discontinuous unidirectional coupling can achieve synchronization if the time-average coupling strength is large enough. Finally, numerical examples are examined to illustrate the feasibility and effectiveness of the analytical results. (c) 2015 Wiley Periodicals, Inc. Complexity 21: 343-355, 2016
引用
收藏
页码：343 / 355
页数：13
相关论文
共 36 条
[21]   Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems [J].
Mahmoud, Gamal M. ;
Mahmoud, Emad E. .
NONLINEAR DYNAMICS, 2010, 61 (1-2) :141-152
[22]   ANALYSIS OF HYPERCHAOTIC COMPLEX LORENZ SYSTEMS [J].
Mahmoud, Gamal M. ;
Ahmed, Mansour E. ;
Mahmoud, Emad E. .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2008, 19 (10) :1477-1494
[23]   On the hyperchaotic complex Lu system [J].
Mahmoud, Gamal M. ;
Mahmoud, Emad E. ;
Ahmed, Mansour E. .
NONLINEAR DYNAMICS, 2009, 58 (04) :725-738
[24]   Projective synchronization in three-dimensional chaotic systems [J].
Mainieri, R ;
Rehacek, J .
PHYSICAL REVIEW LETTERS, 1999, 82 (15) :3042-3045
[25]   Ultimate Bound Sets of a Hyperchaotic System and Its Application in Chaos Synchronization [J].
Nik, Hassan Saberi ;
Effati, Sohrab ;
Saberi-Nadjafi, Jafar .
COMPLEXITY, 2015, 20 (04) :30-44
[26]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
[27]   SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824
[28]   Phase synchronization in regular and chaotic systems [J].
Pikovsky, A ;
Rosenblum, M ;
Kurths, J .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (10) :2291-2305
[29]  
Rosenblum M., 1997, PHYS REV LETT, V78, P41
[30]   GENERALIZED SYNCHRONIZATION OF CHAOS IN DIRECTIONALLY COUPLED CHAOTIC SYSTEMS [J].
RULKOV, NF ;
SUSHCHIK, MM ;
TSIMRING, LS ;
ABARBANEL, HDI .
PHYSICAL REVIEW E, 1995, 51 (02) :980-994
1234