Geodesic
Newtonian dynamical systems admitting normal blow-up of points
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 278-298 Cet article a éte moissonné depuis la source Math-Net.Ru

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A construction of normal shift along trajectories of a Newtonian dynamical system in the case of an extremely singular initial hypersurface collapsing to a single point is considered. A new class of Newtonian dynamical systems, namely, systems admitting normal blow-up of points, is introduced. the class is described in terms of differential equations of normality. 
@article{ZNSL_2001_280_a20,
     author = {R. A. Sharipov},
     title = {Newtonian dynamical systems admitting normal blow-up of points},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {278--298},
     year = {2001},
     volume = {280},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a20/}
}
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R. A. Sharipov. Newtonian dynamical systems admitting normal blow-up of points. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 278-298. http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a20/