Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region

Carvalho, Tiago; Cardoso, Joao Lopes; Tonon, Durval Jose

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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.)

Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region

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Author(s):	Carvalho, Tiago ^[1] ; Cardoso, Joao Lopes ^[2] ; Tonon, Durval Jose ^[2] Total Authors: 3
Affiliation:	^[1] UNESP, Dept Matemat, Fac Ciencias, Ave Engn Luiz Edmundo Carrijo Coube 14-01, BR-17033360 Bauru, SP - Brazil ^[2] Univ Fed Goias, Inst Math & Stat, Ave Esperanca S-N, Campus Samambaia, BR-74690900 Goiania, Go - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Dynamics and Differential Equations; v. 30, n. 4, p. 1899-1920, DEC 2018.
Web of Science Citations:	0
Abstract
This paper is devoted to exhibit canonical forms for 2D codimension one piecewise smooth vector fields. All possible orientations and codimension one scenarios were covered. Also the intrinsic objects that characterize each one of the canonical forms were presented. As consequence, 62 canonical forms were obtained. (AU)

FAPESP's process:	17/00883-0 - Piecewise smooth vector fields with applications in biology
Grantee:	Tiago de Carvalho
Support Opportunities:	Regular Research Grants

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