TY - JOUR
T1 - On a class of vector fields with discontinuity of divide-by-zero type and its applications
JF - Journal of dynamical and control systems 18, nr. 1 (2012) 135-158
Y1 - 2012
A1 - Roberta Ghezzi
A1 - Alexey O. Remizov
AB - We study phase portraits and singular points of vector fields of a special type, that is, vector fields whose components are fractions with a common denominator vanishing on a smooth regular hypersurface in the phase space. We assume also some additional conditions, which are fulfilled, for instance, if the vector field is divergence-free. This problem is motivated by a large number of applications. In this paper, we consider three of them in the framework of differential geometry: singularities of geodesic flows in various singular metrics on surfaces.
PB - Springer
U1 - 7038
U2 - Mathematics
U4 - -1
ER -