Automorphisms of Ordinary Differential Equations
Loading...
Date
2014-01-29
Authors
Tryhuk, Václav
Chrastinová, Veronika
ORCID
0000-0003-3643-9253Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Altmetrics
Abstract
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.
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.
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.
Description
Keywords
Symmetry of differential equation, higher--order transformation, variation, infinitesimal symmetry, diffiety, controllable differential equation, constrained variational integral, Poincar\'e--Cartan form, general equivalence problem., Symmetry of differential equation, higher--order transformation, variation, infinitesimal symmetry, diffiety, controllable differential equation, constrained variational integral, Poincar\'e--Cartan form, general equivalence problem.
Citation
Abstract and Applied Analysis. 2014, vol. 2014, issue ID 482963, p. 1-32.
http://dx.doi.org/10.1155/2014/482963
http://dx.doi.org/10.1155/2014/482963
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en