| 二维映射的规范型系数的代数结构及多重Hopf分支 |
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| 引用本文： | 周盛凡.二维映射的规范型系数的代数结构及多重Hopf分支[J].四川大学学报(自然科学版),1996,33(2):119-127. |
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| 作者姓名： | 周盛凡 |
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| 摘 要： | 引入复仿射不变量及旋转不变量概念，得到二维映射在共振与非共振情形下规范型系数的代数结构，并利用规范型讨论二维映射的多重Ｈｏｐｆ分支。
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| 关 键 词： | 二维映射 Hopf分支 代数结构 规范型系数 |
ALGEBRAIC STRUCTURE AND MULTIPLE HOPF BIFURCATIONS OF COEFFICIENTS IN NORMAL FORMS FOR TWO-DIMENSIONAL MAPS |
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| Zhou Shengfan.ALGEBRAIC STRUCTURE AND MULTIPLE HOPF BIFURCATIONS OF COEFFICIENTS IN NORMAL FORMS FOR TWO-DIMENSIONAL MAPS[J].Journal of Sichuan University (Natural Science Edition),1996,33(2):119-127. |
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| Authors: | Zhou Shengfan |
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| Institution: | Dept.of bath.Sichuan Univ. |
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| Abstract: | The algebraic structures of coefficients in normal forms of two-dimensional maps in resonance and non-resonance cases are obtained by introducing the invariant under complex affine transformation and the invariant under rotational transformation.The multiple Hopf bifurcations are discussed. |
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| Keywords: | two-dimensional maps normal form resonant term Hopf bifurcation |
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