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Z_2对称分岔问题中高阶项集合的注释 被引量:1

Note of the Set of Higher-order Terms in Bifurcation Problems With Z_2-symmetry
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摘要 本文首先给出了关于Z_2对称分岔问题中高阶项集合的若干命题,然后给出了Z_2对称分岔问题中高阶项集合的计算公式的证明. First, several propositions about the set of higher-order terms in bifurcation problems with Z2-symmetry are given; then the proof of the calculation formula of the set of higher-order terms in bifurcation problems with Z2-symmetry is given.
出处 《数学进展》 CSCD 北大核心 2012年第3期361-372,共12页 Advances in Mathematics(China)
基金 国家自然科学基金资助项目(No.10771145 No.60874071) 北京市教育委员会科技发展计划项目(No.KM200810028001) 北京市自然科学基金资助项目(No.1122009)
关键词 Z2对称 Z2(强)等价 Z2余维数 内蕴子模 高阶项 Z2-symmetry (strongly) Z2-equivalence Z2-codimension intrinsic submod- ule higher-order term
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参考文献9

  • 1Golubitsky, M. and Schaeffer, D.G., Singularities and Groups in Bifurcation Theory: Volume 1, Appl. Math. Sci. 51, New York: Springer-Verlag, 1985.
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二级参考文献3

  • 1Golubitsky M, Schaeffer D G. Singgularities and Groups in Bifurcation Theory [M]. Appl. Math. Sci.,1985, Vol 1, New York: Springer-Verlag.
  • 2Tang Yun. Foundations of Bifurcation Theory with Symmetry (In chinese) [M]. Science Press, 1985.
  • 3Shi Hongting, Zheng Chongyou. Intrinsic ideals in local bifurcation problems with one state variable [J].Submitted.

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