On Pleated Singular Points of First-Order Implicit Differential Equations

Autor(es)

Chertovskih, R. A. ^[1] ; Remizov, A. O. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Porto, Fac Engn, Ctr Wind Energy & Atmospher Flows, P-4200465 Oporto - Portugal

^[2] CMAP Ecole Polytech Route Saclay, F-91128 Palaiseau - France

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS; v. 20, n. 2, p. 197-206, APR 2014.
• Citações Web of Science: 0

Resumo

We study phase portraits of a first-order implicit differential equation in a neighborhood of its pleated singular point that is a nondegenerate singular point of the lifted field. Although there is no visible local classification of implicit differential equations at pleated singular points (even in the topological category), we show that there exist only six essentially different phase portraits, which are presented. (AU)

• Processo FAPESP: 12/03960-2 - Geodésicas em superfícies com métricas singulares
• Beneficiário: Farid Tari
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional