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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Pleated Singular Points of First-Order Implicit Differential Equations

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Author(s):
Chertovskih, R. A. [1] ; Remizov, A. O. [2]
Total Authors: 2
Affiliation:
[1] Univ Porto, Fac Engn, Ctr Wind Energy & Atmospher Flows, P-4200465 Oporto - Portugal
[2] CMAP Ecole Polytech Route Saclay, F-91128 Palaiseau - France
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS; v. 20, n. 2, p. 197-206, APR 2014.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 12/03960-2 - Geodesics on surfaces with singular metrics
Grantee:Farid Tari
Support Opportunities: Research Grants - Visiting Researcher Grant - International