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

Artículos de revistas

Fecha

2018-12-01

Registro en:

Journal of Dynamics and Differential Equations, v. 30, n. 4, p. 1899-1920, 2018.

1572-9222

1040-7294

http://hdl.handle.net/11449/186861

10.1007/s10884-017-9636-9

2-s2.0-85040090038

https://repositorioslatinoamericanos.uchile.cl/handle/2250/5367899

Autor

Universidade Estadual Paulista (Unesp)

Universidade Federal de Goiás (UFG)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

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.

Materias

Bifurcation

Canonical forms

Piecewise smooth vector fields

Singularity

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