Presentation	1998/5/15 Universal Unfolding of Degenerated Bifurcation Problem with Z_2⨁Z_2 Symmetry Yoshiyuki ASAI, Taishin NOMURA, Shunsuke SATO,
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Abstract(in English)	We calculated several qualitatively different bifurcation diagrams of a bifurcation problem with Z_2⨁Z_2 symmetry using the universal unfolding theorem. To do this, we chose a mapping h(x, λ), x ∈ V as a normal form in Z_2⨁Z_2-equivariant mapping space (ε^^→_(Z_2⨁Z_2)). Some mappings in this space change the bifurcation diagram of h if it is added to h as a perturbation, but others not. We calculate basis of the subspace consist of the former mappings and add them to h to construct an universal unfolding H of h. perturbed bifurcation diagrams of h can be drawn as the solution of H=0. In this paper, we used the lowest order polynomial in ε^^→_(Z_2⨁Z_2)and a one degenerate case of its as the normal forms, and calculated their bifurcation diagrams.
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Keyword(in English)	Z_2⨁Z_2 symmetry / bifurcation problem / universal unfolding
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Committee	NLP
Conference Date	1998/5/15(1days)
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Registration To	Nonlinear Problems (NLP)
Language	JPN
Title (in Japanese)	(See Japanese page)
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Title (in English)	Universal Unfolding of Degenerated Bifurcation Problem with Z_2⨁Z_2 Symmetry
Sub Title (in English)
Keyword(1)	Z_2⨁Z_2 symmetry
Keyword(2)	bifurcation problem
Keyword(3)	universal unfolding
1st Author's Name	Yoshiyuki ASAI
1st Author's Affiliation	Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University()
2nd Author's Name	Taishin NOMURA
2nd Author's Affiliation	Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University
3rd Author's Name	Shunsuke SATO
3rd Author's Affiliation	Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University
Date	1998/5/15
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Volume (vol)	vol.98
Number (no)	45
Page	pp.pp.-
#Pages	8
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