Journal
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
Volume 30, Issue 4, Pages 1899-1920Publisher
SPRINGER
DOI: 10.1007/s10884-017-9636-9
Keywords
Canonical forms; Singularity; Bifurcation; Piecewise smooth vector fields
Categories
Funding
- Sao Paulo Research Foundation (FAPESP) [2017/00883-0, 2013/34541-0]
- CAPES/Brazil (from the Program CSF-PVE) [88881.030454/2013-01]
- CAPES/Brazil (from the Program PNPD) [1576689]
- CNPq/Brazil [478230/2013-3, 443302/2014-6]
- Goias Research Foundation (FAPEG) [2012/10 26 7000 803]
- PROCAD/CAPES [88881.0 68462/2014-01]
- CNPq-Brazil
- CAPES
- UFG [35796, 35798, 040393]
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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.
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