Geodesic
Fronts of control-affine systems in R^3
Journal of Singularities, Tome 21 (2020), pp. 15-29

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We consider a control-affine system in three-dimensional space with control parameters belonging to a two-dimensional disk and study its fronts evolving from a point for small times. We prove that generically the Legendrian lifts of such fronts have standard singularities and there are only two principally different typical cases --- hyperbolic and elliptic. 
@article{10_5427_jsing_2020_21b,
     author = {Ilya Bogaevsky},
     title = {Fronts of control-affine systems in {R^3}},
     journal = {Journal of Singularities},
     pages = {15--29},
     publisher = {mathdoc},
     volume = {21},
     year = {2020},
     doi = {10.5427/jsing.2020.21b},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.21b/}
}
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Ilya Bogaevsky. Fronts of control-affine systems in R^3. Journal of Singularities, Tome 21 (2020), pp. 15-29. doi: 10.5427/jsing.2020.21b

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