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Classification of (D4, S1)-equivariant bifurcation problems up to topological codimension 2

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Abstract

The techniques from singularity theory are applied to the multiparameter bifurcation problem. The classification of (D4, S1)-equivariant bifurcation problems with topological codimension less than or equal to 2 is given. The corresponding recognition conditions are set up.

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Authors and Affiliations

  1. Department of Applied Mathematics, Central South University, 410083, Changsha, China

    Shouping Gao & Yangcheng Li

  2. Department of Applied Mathematics, Tongji University, 200092, Shanghai, China

    Shouping Gao

Authors
  1. Shouping Gao
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  2. Yangcheng Li
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Correspondence to Shouping Gao.

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Gao, S., Li, Y. Classification of (D4, S1)-equivariant bifurcation problems up to topological codimension 2. Sci. China Ser. A-Math. 46, 862–871 (2003). https://doi.org/10.1360/02ys0217

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