Generic singularities of implicit systems of first order differential equations on the plane

Davydov, A. A; Ishikawa, G.; Izumiya, S. et al.

Hokkaido University Preprint Series in Mathematics, 2003, 585, 1-28

Permalink : https://doi.org/10.14943/83730

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アクセス権	open access
DOI	https://doi.org/10.14943/83730
URI	https://hdl.handle.net/2115/69334
タイトル	Generic singularities of implicit systems of first order differential equations on the plane
著者	Davydov, A. A ; Ishikawa, G. ; Izumiya, S. ; Sun, W.-Z
著者名 Davydov, A. A
著者名 Ishikawa, G.
著者名 Izumiya, S.
著者名 Sun, W.-Z
言語	英語
発行日	2003-02
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	585
ページ	1-28
抄録	For the implicit systems of first order ordinary differential equations on the plane there is presented the complete local classification of generic singularities of family of its phase curves up to smooth orbital equivalence. Besides the well known singularities of generic vector fields on the plane and the singularities described by a generic first order implicit differential equations, there exists only one generic singularity described by the implicit first order equation supplied by Whitney umbrella surface generically embedded to the space of directions on the plane.
資源タイプ	紀要論文
出版タイプ	Version of Record