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

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dc.creatorDavydov, A. A.
dc.creatorIshikawa, G.
dc.creatorIzumiya, S.
dc.creatorSun, W. -Z.
dc.date2003-02-12
dc.date.accessioned2026-07-07T04:55:13Z
dc.date.available2026-07-07T04:55:13Z
dc.descriptionFor 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.
dc.description28 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0302134
dc.identifierhttp://arxiv.org/abs/math/0302134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66504
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.subject58K50; 58K45; 37G05; 37Jxx
dc.titleGeneric singularities of implicit systems of first order differential equations on the plane
dc.typetext

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