Automorphisms of Ordinary Differential Equations
Copyright policy )Automorphisms of Ordinary Differential Equations
The paper deals with the local theory of internal symmetries of underdetermined systems of ordinary differential equations in full generality. The symmetries need not preserve the choice of the independent variable, the hierarchy of dependent variables, and the order of derivatives. Internal approach to the symmetries of one-dimensional constrained variational integrals is moreover proposed without the use of multipliers.
- Brno University of Technology Czech Republic
controllable differential equation, Geometric methods in ordinary differential equations, Symmetry of differential equation, Poincar\'e--Cartan form, higher--order transformation, Invariance and symmetry properties for PDEs on manifolds, QA1-939, general equivalence problem., variation, Symmetries, invariants of ordinary differential equations, diffiety, Mathematics, infinitesimal symmetry, constrained variational integral
controllable differential equation, Geometric methods in ordinary differential equations, Symmetry of differential equation, Poincar\'e--Cartan form, higher--order transformation, Invariance and symmetry properties for PDEs on manifolds, QA1-939, general equivalence problem., variation, Symmetries, invariants of ordinary differential equations, diffiety, Mathematics, infinitesimal symmetry, constrained variational integral
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!