两个状态依赖时滞系统的分岔和混沌
发布时间：2019-01-07 11:01
【摘要】：状态依赖时滞系统是自然界和人类社会中更现实的研究对象,其动力学现象是当前研究的一个热点和难点。在国家自然科学基金(No: 11372282)的资助下,本论文研究了两个状态依赖时滞系统的分岔和混沌。首先利用DDE-BIFTOOL软件对状态依赖往返时滞无线网络拥塞模型进行了 Hopf分岔分析,得到了四种典型网络状况下的Hopf分岔,并对分岔出的稳定和不稳定周期解分别用WinPP进行了定量和定性验证,二者比较吻合,对无线网络的拥塞控制提供了理论基础和指导意见。其次,利用WinPP软件分析了状态依赖时滞车削工具模型中的混沌现象,发现了概周期通向混沌的道路,对车削工具模型的再生振颤控制提供了理论依据。
[Abstract]:The state-dependent time-delay system is a more realistic research object in nature and human society, and its dynamic phenomenon is a hot and difficult point in the current research. Supported by the National Natural Science Foundation of China (No: 11372282), the bifurcation and chaos of two state-dependent time-delay systems are studied in this paper. Firstly, the Hopf bifurcation analysis of the state-dependent round-trip delay wireless network congestion model is carried out by using DDE-BIFTOOL software, and the Hopf bifurcation of four typical network conditions is obtained. The stable and unstable periodic solutions of bifurcation are verified quantitatively and qualitatively by WinPP, which are consistent with each other and provide theoretical basis and guidance for congestion control in wireless networks. Secondly, the chaotic phenomena in the state-dependent time-delay turning tool model are analyzed by using WinPP software, and the almost periodic path to chaos is found, which provides a theoretical basis for the regenerative vibration control of the turning tool model.
【学位授予单位】：郑州大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175
本文编号：2403580
[Abstract]:The state-dependent time-delay system is a more realistic research object in nature and human society, and its dynamic phenomenon is a hot and difficult point in the current research. Supported by the National Natural Science Foundation of China (No: 11372282), the bifurcation and chaos of two state-dependent time-delay systems are studied in this paper. Firstly, the Hopf bifurcation analysis of the state-dependent round-trip delay wireless network congestion model is carried out by using DDE-BIFTOOL software, and the Hopf bifurcation of four typical network conditions is obtained. The stable and unstable periodic solutions of bifurcation are verified quantitatively and qualitatively by WinPP, which are consistent with each other and provide theoretical basis and guidance for congestion control in wireless networks. Secondly, the chaotic phenomena in the state-dependent time-delay turning tool model are analyzed by using WinPP software, and the almost periodic path to chaos is found, which provides a theoretical basis for the regenerative vibration control of the turning tool model.
【学位授予单位】：郑州大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175
【引证文献】
相关硕士学位论文 前1条
1 贾明莉;基于HB-AFT方法的两个状态依赖时滞网络拥塞控制模型的周期解[D];郑州大学;2018年
，本文编号：2403580
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