| 共轭算子法和非线性动力系统的高阶规范形 |
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| 引用本文： | 张伟 陈予恕. 共轭算子法和非线性动力系统的高阶规范形[J]. 应用数学和力学, 1997, 18(5): 421-432 |
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| 作者姓名： | 张伟 陈予恕 |
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| 作者单位： | 天津大学力学系, 天津 300072 |
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| 摘 要： | 规范形理论是研究非线性动力系统退化分含的强有力的方法.在本文里我们利用共轭算子法计算了具有幂零线性部分和不具有Z2-对称性的非线性动力系统的2阶、3阶和4阶规范形,讨论了几种余维3退化分含情况下的普适开析问题及其一些全局特性.
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| 关 键 词： | 非线性动力系统 共轭算子法 3阶和4阶规范形 余维3退化分岔 普适开折 |
| 收稿时间： | 1996-03-06 |
Adjoint operator Method and Normal Forms of Higher order for Nonlinear Dynamical System |
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| Zhang Wei,Chen Yushu. Adjoint operator Method and Normal Forms of Higher order for Nonlinear Dynamical System[J]. Applied Mathematics and Mechanics, 1997, 18(5): 421-432 |
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| Authors: | Zhang Wei Chen Yushu |
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| Affiliation: | Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China |
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| Abstract: | Normal form theory is a very effective method in the study of degenerate bifurations of nonlinear dynamical systems. In this paper, by using ad joint operator method, normal forms of order 3 and 4 for nonlinear dynamical system withnilpotent lincar part and Z2-asymmetry are computed. According to normal formsobtained, universal unfolings for some degenerate bifurcation cases of codimension 3 and simple global characterizations are discussed. |
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| Keywords: | nonlinear dynamical system ad joint operator method normal formsof order 3 and 4 degenerate bifurcation of codimension 3 universalunfolding |
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