On Pleated Singular Points of First-Order Implicit Differential Equations

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Chertovskih, RA (Author) Other; Remizov, AO (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS

Vol. 20

Pages: 197-206

ISSN: 1079-2724

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 1 Citation

Other information

Authenticus ID: P-009-9ZE

DOI: 10.1007/s10883-013-9209-0

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10