2 papers
math.DS2000
Nonclassical Lagrangian Dynamics and Potential Maps
Constantin Udriste
Section 1 refines the theory of harmonic and potential maps. Section 2 defines a generalized Lorentz world-force law and shows that any PDEs system of order one generates such a la…
math.DS2000
From flows and metrics to dynamics
C. Udriste, A. Udriste
Recall that a vector field on an n-dimensional differentiable manifold M is a mapping X defined on M with values in the tangent bundle TM that assigns to each point a vect…