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Regularization of discontinuous foliations: Blowing up and sliding conditions via Fenichel theory.
- Source :
-
Journal of Differential Equations . Dec2017, Vol. 263 Issue 12, p8362-8390. 29p. - Publication Year :
- 2017
-
Abstract
- We study the regularization of an oriented 1-foliation F on M ∖ Σ where M is a smooth manifold and Σ ⊂ M is a closed subset, which can be interpreted as the discontinuity locus of F . In the spirit of Filippov's work, we define a sliding and sewing dynamics on the discontinuity locus Σ as some sort of limit of the dynamics of a nearby smooth 1-foliation and obtain conditions to identify whether a point belongs to the sliding or sewing regions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 263
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 125610381
- Full Text :
- https://doi.org/10.1016/j.jde.2017.08.042