Newtonian dynamical systems admitting normal blow-up of points

Abstract

Class of Newtonian dynamical systems admitting normal blow-up of points in Riemannian manifolds is considered. Geometric interpretation for weak normality condition, which arose earlier in the theory of dynamical systems admitting the normal shift of hypersurfaces, is found.

AmSTeX, 16 pages, amsppt style

References in corpus (3)

• Dynamical Systems Accepting the Normal Shift
• Problem of Metrizability for the Dynamical Systems Accepting the Normal Shift
• Complete normality conditions for the dynamical systems on Riemannian manifolds

Cited by in corpus (7)

• First problem of globalization in the theory of dynamical systems admitting the normal shift of hypersurfaces
• On the solutions of weak normality equations in multidimensional case
• Normal shift in general Lagrangian dynamics
• On the concept of normal shift in non-metric geometry
• Comparative analysis for pair of dynamical systems, one of which is Lagrangian
• V-representation for normality equations in geometry of generalized Legendre transformation
• On the subset of normality equations describing generalized Legendre transformation