| 分岔混沌非线性振动及其在工程中的应用 |
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| 引用本文： | 李银山,李欣业,刘波.分岔混沌非线性振动及其在工程中的应用[J].河北工业大学学报,2004,33(2):96-103. |
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| 作者姓名： | 李银山 李欣业 刘波 |
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| 作者单位： | 河北工业大学,工程力学研究所,天津,300130;河北工业大学,工程力学研究所,天津,300130;河北工业大学,工程力学研究所,天津,300130 |
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| 基金项目： | 国家自然科学基金重大项目(19990510);山西省自然科学基金资助项目(20001007). |
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| 摘 要： | 综述了非线性动力学近期取得重大发展的几个方面：从李耳到李天岩——混沌进入科学界；用机械模型进行混沌实验研究；高维非自治系统稳定性和安全性量化理论；非线性对称振动和非对称振动．
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| 关 键 词： | 分岔 混沌 实验 稳定裕度 对称破缺和恢复 |
| 文章编号： | 1007-2373(2004)02-0096-08 |
| 修稿时间： | 2004年4月10日 |
Bifurcation,Chaos,Nonlinear Oscillations and Their Application in Engineering |
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| LI Yin-shan,LI Xin-ye,LIU Bo.Bifurcation,Chaos,Nonlinear Oscillations and Their Application in Engineering[J].Journal of Hebei University of Technology,2004,33(2):96-103. |
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| Authors: | LI Yin-shan LI Xin-ye LIU Bo |
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| Abstract: | The focus of many studies of currently nonlinear dynamics problems is introduced in this paper, including that chaos was entered into world of science from LI Ear to LI Tian-yan, the experiments of chaos were studied by mechanical model, quantitative theory of stability and safety for high dimensional non-autonomous; symmetry oscillations and non-symmetry oscillations with nonlinear. |
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| Keywords: | bifurcation chaos experiments stability margin symmetry breaking and restoration |
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