一类多翅膀超混沌吸引子的生成、实现和同步控制.pdf

GENERATION,CIRCUIT IMPLEMENTATION AND
SYNCHRONIZATION CONTROL OF A HYPERCHAOTIC
ATTRACTORWITH MULTI-WING
MASTER OF PHILOSOPHY
Shandong University of Science and Technology
Wang Lei
Supervisor: ProfessorLiYuxia
College of Information and Electrical Engineering
May 2011
A Dissertation submitted in fulfillment of the requirementsof the degree of
From
by
GENERATION,CIRCUIT IMPLEMENTATION AND
SYNCHRONIZATION CONTROL OF A HYPERCHAOTIC
ATTRACTORWITH MULTI-WING
A Dissertation submitted in fulfillment of the requirementsof the degree of
MASTER OF PHILOSOPHY
From
Shandong University of Science and Technology
by
Wang Lei
Supervisor: ProfessorLiYuxia
College of Information and Electrical Engineering
May 2011
I declare that this dissertation, submitted in fulfillment of the requirements for the
award of Master of Engineering in Shandong University of Science and Technology,is
wholly my own work unless referenced of acknowledge. The document has not been
submitted for qualification at any other academic institute.
Signature
Date
声明
本人呈交给山东科技大学的这篇硕士学位论文,除了所列参考文献和世所公认的文
献外,全部是本人在导师指导下的研究成果。该论文资料尚没有呈交于其它任何学术机
关作鉴定。
硕士生签名:
日期:
AFFIRMATION
I declare that this dissertation, submitted in fulfillment of the requirements for the
award of Master of Engineering in Shandong University of Science and Technology,is
wholly my own work unless referenced of acknowledge. The document has not been
submitted for qualification at any other academic institute.
Signature:
Date:
山东科技大学硕士学位论文摘要
摘要
混沌是确定性非线性系统中的动力学行为,混沌系统的最大特点是系统的演化对初
始条件十分敏感。超混沌系统因其具有两个或两个以上正的 Lyapunov 指数而具有更好的
随机性和不确定性,在工程应用上具有更大的价值。近年来的研究表明,由超混沌加密
的信号更难破译。因此,为了得到超混沌系统在实际应用方面更加重要的价值,人们开
始把注意力集中在生成具有复杂拓扑结构的超混沌吸引子上,比如多涡卷和多翅膀超混
沌吸引子。多翅膀超混沌混沌吸引子因其拓扑结构的复杂性和更好的保密性能,其生成、
电路实现及同步研究具有十分重要的现实意义和广阔的发展前景。本文利用非线性状态
反馈控制方法生成了一个新的多翅膀超混沌吸引子,这个吸引子的存在通过计算机仿真
得到验证,并通过分岔分析和电子电路进行了证实。
论文内容主要包括以下三个方面:
(1)基于一个三维自治混沌系统,利用非线性反馈控制的方法生成了多翅膀超混沌
系统。多翅膀超混沌系统的特性通过复杂动力学特性分析、