【摘要】：狀態(tài)依賴時滯系統(tǒng)是自然界和人類社會中更現(xiàn)實的研究對象,其動力學現(xiàn)象是當前研究的一個熱點和難點。在國家自然科學基金(No: 11372282)的資助下,本論文研究了兩個狀態(tài)依賴時滯系統(tǒng)的分岔和混沌。首先利用DDE-BIFTOOL軟件對狀態(tài)依賴往返時滯無線網(wǎng)絡擁塞模型進行了 Hopf分岔分析,得到了四種典型網(wǎng)絡狀況下的Hopf分岔,并對分岔出的穩(wěn)定和不穩(wěn)定周期解分別用WinPP進行了定量和定性驗證,二者比較吻合,對無線網(wǎng)絡的擁塞控制提供了理論基礎和指導意見。其次,利用WinPP軟件分析了狀態(tài)依賴時滯車削工具模型中的混沌現(xiàn)象,發(fā)現(xiàn)了概周期通向混沌的道路,對車削工具模型的再生振顫控制提供了理論依據(jù)。
[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.
【學位授予單位】：鄭州大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：O175

【引證文獻】

相關碩士學位論文 前1條

1 賈明莉;基于HB-AFT方法的兩個狀態(tài)依賴時滯網(wǎng)絡擁塞控制模型的周期解[D];鄭州大學;2018年

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本文編號：2403580