Dynamical Systems Accepting the Normal Shift
R. A. Sharipov (Department of Mathematics, Bashkir State University,, Ufa, Russia)
TL;DR
This paper investigates Newtonian dynamical systems on Riemannian manifolds that accept the normal shift, deriving PDEs that characterize their weak and additional normality conditions.
Contribution
It introduces PDEs defining the weak and additional normality conditions for dynamical systems accepting the normal shift on Riemannian manifolds.
Findings
Derived PDEs for normality conditions
Characterized weak and additional normality conditions
Extended understanding of dynamical systems on manifolds
Abstract
Newtonian dynamical systems accepting the normal shift on an arbitrary Riemannian manifold are considered. Partial differential equations forming the weak and additional normality conditions for them are reported.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Cellular Automata and Applications · Control and Stability of Dynamical Systems