Multidimensional Dynamical Systems Accepting the Normal Shift

Details Multidimensional Dynamical Systems Accepting the Normal Shift Multidimensional Dynamical Systems Accepting the Normal Shift

1993-04-04

arxiv.org/abs/patt-sol/9404001v1

Dokladi Akademii Nauk. 334(1994), No. 2, P. 165-167

Astronomy and Astrophysics

Astrophysics

AMS-TeX, ver. 2.1, IBM AT-386, size 16K (ASCII), short version

Scientific paper

10.1007/BF01016762

The dynamical systems of the form $\ddot\bold r=\bold F (\bold r,\dot\bold
r)$ in $\Bbb R^n$ accepting the normal shift are considered. The concept of
weak normality for them is introduced. The partial differential equations for
the force field $\bold F(\bold r,\dot\bold r)$ of the dynamical systems with
weak and complete normality are derived.

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