Some Generalized Chaos Synchronization Theorems for Discrete and Continuous Systems with Application
Since 1990, the research of chaos has got much attention [1]-[8]. One of the reasons for this is that synchronization can be found in many physical, biological and engineering systems [9]-[18]. Generalized synchronization (GS) means some variables of two systems are synchronization with respect to a transformation H. Since 1986, the idea of GS was gradually developed [13]-[15]. The researches on GS may provide new tools for constructing secure communication systems [14], [15]-[25].Chaos synchronization for many practical systems are in form of coupled arrays. The partial differentialequations may be studies via mapping them into coupled array ordinary different~al equations [27],[30].Recently the researches on synchronization in networks of coupled chaotic systems has received more andmore attentions [9]-[12].Further researches on the synchronization and the GS for networks will bepromising from theoretical and practical points of views. In this talk, we will introduce four new theorems on GS of unidirectionally coupled discrete arraysystems (UCDASs), vector differential equations, discrete array systems, and non-autonomous differential equations.
Lequan Min Hongyan Zang Jianyi Jing Ting Liu
School of Applied Science and School of Information Engineering, University of Science and Technology Beijing, Beijing, 100083, P. R. China
国际会议
第四届亚太地区混沌控制与同步会议(The Fourth Asia-Pacific Workshop on Chaos Control and Synchronization)
哈尔滨
英文
315-317
2007-08-24（万方平台首次上网日期，不代表论文的发表时间）