标题: 离心调速器之浑沌同步与反控制
Chaos Synchronization and Chaos Anticontrol of a Centrifugal Governor
作者: 翁继民
戈正铭
机械工程学系
关键字: 浑沌;同步;chaos;synchronization
公开日期: 2001
摘要: 本篇论文研究离心调速器非线性系统的浑沌同步与反控制 . 藉由产生一个相同于原系统的方程式 , 利用不同的耦合项去使两相同系统但初始值不同的浑沌系统同步 , 最后以李亚普诺夫指数以及系统同步时间去验证临界强度值 . 接着引进欧几里得几何距离去做单向暂态时间的系统同步 , 并作出一耦合强度与距离的关系图 . 最后以原浑沌系统为载波并加上正弦讯号去模拟秘密通讯 , 模拟结果证实加密讯号能完整解码达成秘密通讯的要求 .
第二部分是以外加控制项去使原本有周期解改变为浑沌行为以达成反控制的要求 . 并以外加频率, 耦合强度与所产生的分叉图的浑沌区域的范围的长度作一三维的关系图 , 进一步去了解三者之间的关系
Chaos synchronization and anticontrol of a centrifugal governor are studied in this thesis. By generating two identical systems, different coupling terms are used to synchronize the chaotic systems with different initial conditions. And Lyapunov exponent and synchronous time are used to confirm the critical coupling strength. Then Euclidean distance is used to make unidirectional synchronization and plot a figure with coupling strength vs the distance. Finally the secret communication is simulated. Chaotic systems are used to a sinusoidal carry signals. The results shows that encoded signals can completely decode and satisfy the demand for secret communication.
URI: http://140.113.39.130/cdrfb3/record/nctu/#NT900489046
http://hdl.handle.net/11536/69163
显示于类别:Thesis