| 含约束非线性动力系统的分岔分类 |
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| 引用本文： | 吴志强,陈予恕.含约束非线性动力系统的分岔分类[J].应用数学和力学,2002,23(5):477-482. |
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| 作者姓名： | 吴志强 陈予恕 |
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| 作者单位： | 天津大学力学与工程测试系, 天津 300072 |
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| 基金项目： | 国家自然科学基金资助项目 (重大 19990 5 10 )，国家重点基础研究专项经费资助项目(G19980 2 0 316) |
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| 摘 要： | 讨论含约束非线性动力系统分岔的分类.研究表明,约束分岔的转迁集,除分岔集、滞后集和双极限点集外,还有三种转迁集是它特有的.在此基础上提出了一种约束分岔问题的奇异性分类方法.
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| 关 键 词： | 约束 分岔 奇异性 非线性动力系统 |
| 文章编号： | 1000-0887(2002)05-0477-06 |
| 收稿时间： | 2001-06-22 |
| 修稿时间： | 2001年6月22日 |
Classification of Bifurcations for Nonlinear Dynamical Problems With Constraints |
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| WU Zhi_qiang,CHEN Yu_shu.Classification of Bifurcations for Nonlinear Dynamical Problems With Constraints[J].Applied Mathematics and Mechanics,2002,23(5):477-482. |
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| Authors: | WU Zhi_qiang CHEN Yu_shu |
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| Institution: | Department of Mechanics, Tianjin University, Tianjin 300072, P R China |
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| Abstract: | Bifurcation of periodic solutions widely existed in nonlinear dynamical systems is a kind of constrained one in intrinsic quality because its amplitude is always non_negative. Classification of the bifurcations with the type of constraint was discussed. All its six types of transition sets are derived, in which three types are newly found and a method is proposed for analyzing the constrained bifurcation. |
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| Keywords: | constraint bifurcation singularity nonlinear dynamical problem |
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