Construction of Generalized Synchronization for a Kind of Array Differential Equations and Applications
ZHANG Xiao-Dan, ZHANG Li-Li, MIN Le-Quan
Applied Science School, University of Science and Technology Beijing, Beijing 100083
Construction of Generalized Synchronization for a Kind of Array Differential Equations and Applications
ZHANG Xiao-Dan;ZHANG Li-Li;MIN Le-Quan
Applied Science School, University of Science and Technology Beijing, Beijing 100083
关键词 ：
05.45.Xt ,
05.45.Jn ,
05.45.Gg
Abstract ： Chaos synchronization, as a special complex phenomenon, has been studied for about a decade. Only recently, generalized chaotic synchronization phenomena have been realized to be general in the real world and have potential applications. We present two theorems for constructing a kind of array differential equations with generalized synchronization (GS) with respect to linear transformations. Two array differential equation systems with GS are introduced based on our theorems. Numerical simulations show that the two systems display periodic GS and chaotic GS, respectively.
Key words ：
05.45.Xt
05.45.Jn
05.45.Gg
出版日期: 2003-12-01
:
05.45.Xt
(Synchronization; coupled oscillators)
05.45.Jn
(High-dimensional chaos)
05.45.Gg
(Control of chaos, applications of chaos)
引用本文:
ZHANG Xiao-Dan;ZHANG Li-Li;MIN Le-Quan. Construction of Generalized Synchronization for a Kind of Array Differential Equations and Applications[J]. 中国物理快报, 2003, 20(12): 2114-2117.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2003/V20/I12/2114
[1]
FENG Cun-Fang;ZHANG Yan; WANG Ying-Hai. Different Types of Synchronization in Time-Delayed Systems
[2]
WANG Jing;GAO Jin-Feng;MA Xi-Kui; LIANG Zhan-Hong. A General Response System Control Method Based on Backstepping Design for Synchronization of Continuous Scalar Chaotic Signal
[3]
ZHOU Lu-Qun;OUYANG Qi. Phase Propagations in a Coupled Oscillator--Excitor System of FitzHugh--Nagumo Models
[4]
FENG Cun-Fang;ZHANG Yan;WANG Ying-Hai. Projective Synchronization in Time-Delayed Chaotic Systems
[5]
TANG Guo-Ning;HU Gang;. Controlling Flow Turbulence Using Local Pinning Feedback
[6]
SHEN Jian-He;CHEN Shu-Hui;CAI Jian-Ping. Chaos Synchronization Criterion and Its Optimizations for a Nonlinear Transducer System via Linear State Error Feedback Control
[7]
ZHANG Ke;WANG Hong-Li;QIAO Chun;OUYANG Qi. Hexagonal Standing-Wave Patterns in Periodically Forced Reaction--Diffusion Systems
[8]
GUAN Jian-Yue; XU Xin-Jian;WU Zhi-Xi;WANG Ying-Hai. Synchronization of Coupled Oscillators on Newman--Watts Small-World Networks
[9]
ZHANG Shan;YANG Shi-Ping;LIU Hu. Targeting of Kolmogorov--Arnold--Moser Orbits by the Bailout Embedding Method in Two Coupled Standard Maps
[10]
WU Li-Yan;LIU Zong-Hua. Enhancement of Information Transmission by Array Induced Stochastic Resonance in the Processes of Amplitude and Frequency Modulations
[11]
LIU Zeng-Rong;LUO Ji-Gui. Realization of Complete Synchronization between Different Systems by Using Structure Adaptation
[12]
AO Bin;MA Xiao-Juan;LI Yun-Yun;ZHENG Zhi-Gang. Non-Local Coupling and Partial Synchronization in Chaotic Systems
[13]
QIAN Xiao-Lan;LIU Wei-Qing;YANG Jun-Zhong. Transition to Antiphase Synchronization
[14]
WU Xiang;WANG Bing-Hong;ZHOU Tao;WANG Wen-Xu;ZHAO Ming;YANG Hui-Jie. Synchronizability of Highly Clustered Scale-Free Networks
[15]
M. S. Baptista;C. Zhou;J. Kurths. Information Transmission in Phase Synchronous Chaotic Arrays
2003, Vol. 20 
