MULTIDIMENSIONAL DYNAMICAL-SYSTEMS THAT ADMIT NORMAL SHIFT

Dynamical systems in R(n) of the form r=F(r, r) that admit normal shift of submanifolds of codimension 2 are considered. The concept of weak normality for such systems is defined, and defining partial differential equations for the force function F(r, r) of dynamical systems with the properties of weak and complete normality are derived.