Double High Order S-Breaking Bifurcation Points and Their Numerical Determination

Yang Zhonghua; Ye Ruisong

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Yang Zhonghua, Ye Ruisong. Double High Order S-Breaking Bifurcation Points and Their Numerical Determination[J]. Applied Mathematics and Mechanics, 1996, 17(7): 601-612.

Citation:

Yang Zhonghua, Ye Ruisong. Double High Order S-Breaking Bifurcation Points and Their Numerical Determination[J]. Applied Mathematics and Mechanics, 1996, 17(7): 601-612.

Citation:

Yang Zhonghua, Ye Ruisong. Double High Order S-Breaking Bifurcation Points and Their Numerical Determination[J]. Applied Mathematics and Mechanics, 1996, 17(7): 601-612.

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Double High Order S-Breaking Bifurcation Points and Their Numerical Determination

Yang Zhonghua¹,
Ye Ruisong²

1. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China;
2. Shantou University, Shantou 515063, P. R. China

Received Date: 1995-05-04
Publish Date: 1996-07-15

Abstract

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.
- Z₂×,
- Z₂-symmetry,
- double high order S-breaking bifurcation point,
- extended system

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References(8)

References

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