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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (7): 633-646.

• 论文 • 上一篇    下一篇

DOUBLE HIGH ORDER S-BREAKING BIFURCATION POINTS ANDTHEIR NUMERICAL DETERMINATION

杨忠华1, 叶瑞松2   

  1. 1. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China;
    2. Institute of Mathematics, Shantou University, Shantou 515063, P. R. China
  • 收稿日期:1995-05-04 出版日期:1996-07-18 发布日期:1996-07-18
  • 基金资助:
    Project supported by State Major Key Project for Basic Research and the National Natural Science Foundation of China

DOUBLE HIGH ORDER S-BREAKING BIFURCATION POINTS ANDTHEIR NUMERICAL DETERMINATION

Yang Zhonghua1, Ye Ruisong 2   

  1. 1. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China;
    2. Institute of Mathematics, Shantou University, Shantou 515063, P. R. China
  • Received:1995-05-04 Online:1996-07-18 Published:1996-07-18
  • Supported by:
    Project supported by State Major Key Project for Basic Research and the National Natural Science Foundation of China

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摘要： We consider double high order S-breaking bifurcation points of two-Parameter dependent nonlinear problems with Z2×Z2-symmetry. Because of the underlying symmetry we could propose some regular extended systems to determine double high order S-breaking bifurcation points. and we could also show that there exist two quadratic pitchfork bifurcation point paths passing through the point being considered.

Abstract: We consider double high order S-breaking bifurcation points of two-Parameter dependent nonlinear problems with Z2×Z2-symmetry. Because of the underlying symmetry we could propose some regular extended systems to determine double high order S-breaking bifurcation points. and we could also show that there exist two quadratic pitchfork bifurcation point paths passing through the point being considered.

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