复杂多卷波混沌系统的理论设计与电路实现  

Theoretical Design and Circuit Realization of Complex Multi-Scroll Chaotic Systems

作　　者：吕金虎[1] 禹思敏[2] 

机构地区：[1]中国科学院数学与系统科学研究院系统科学研究所系统控制重点实验室,北京100190 [2]广东工业大学自动化学院,广州510006

出　　处：《应用数学学报》2009年第6期997-1007,共11页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(60871025;60772158;60821091);国家重点基础研究973计划(2007CB310805);中国科学院知识创新工程重要方向性(KJCX3-SYW-S01)资助项目

摘　　要：双卷波Chua电路的发明第一次在混沌理论与非线性电路之间建立了直接联系.复杂多卷波混沌系统在混沌理论与非线性电路之间架起了桥梁.复杂多卷波混沌系统具有明确的工程应用背景,它的理论设计与电路实现在过去三十年里得到迅猛发展.本文简要的回顾国内外过去三十年在复杂多卷波混沌系统的理论设计与电路实现上的主要研究进展,包括基本理论,设计方法与典型的工程应用,试图推进国内复杂多卷波混沌系统的研究.The well-known double-scroll Chua circuit builds the direct connection between chaos theory and nonlinear circuits at the first time. In fact, complex multi-scroll chaotic systems bridge the gap between the chaos theory and nonlinear circuits. As we know now that complex multi-scroll chaotic systems have very clear background for real-world engineering applications. And there is a rapid development in the theoretical design and circuit realization of complex multi-scroll chaotic systems over the last three decades. This paper briefly reviews the main advances in the theoretical design and circuit realization of complex multi-scroll chaotic systems over the last three decades, including basic theories, design approaches, and typical engineering applications. This paper attempts to advance the research of complex multi-scroll chaotic systems in mainland.

关 键 词：混沌 非线性电路 多卷波 电路设计与实现 

分 类 号：O231.5[理学—运筹学与控制论] O415.5[理学—数学]