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학술대회/행사

초록검색

제출번호(No.) 0553
분류(Section) Contributed Talk
분과(Session) Ordinary Differential Equations / Dynamical Systems (SS-10)
영문제목
(Title(Eng.))
[CANCELLED] A three dimensional singularly perturbed conservative system with symmetry breaking
저자(Author(s))
Kie V I Saputra1
Applied Mathematics, Universitas Pelita Harapan, Jl. M.H. Thamrin Boulevard, Tangerang, 15811 Banten, Indonesia.1
초록본문(Abstract) We study bifurcations occuring in a dynamical system having a special structure namely
a codimension-one invariant manifold that preserved under the variation of parameters.
We derive conditions such that bifurcations of codimension-one and of codimension-two occur
in the system. The normal forms of these bifurcations are derived explicitly. Both local
and global bifurcations if present of the unfolding are analysed.
분류기호
(MSC number(s))
37C27, 34C23
키워드(Keyword(s)) invariant manifold, saddle-node--transcritical bifurcation, center manifold, normal forms, codimension-three Bogdanov-Takens bifurcation, blowing up, Hopf-zero bifurcation
강연 형태
(Language of Session (Talk))
English