%0 Journal Article
%J Journal of dynamical and control systems 18, nr. 1 (2012) 135-158
%D 2012
%T On a class of vector fields with discontinuity of divide-by-zero type and its applications
%A Roberta Ghezzi
%A Alexey O. Remizov
%X 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.
%B Journal of dynamical and control systems 18, nr. 1 (2012) 135-158
%I Springer
%G en
%1 7038
%2 Mathematics
%4 -1
%$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2013-08-14T09:32:26Z
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%R 10.1007/s10883-012-9137-4