Fundamental invariants of systems of ODEs of higher order

Warning

This publication doesn't include Institute of Computer Science. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	DOUBROV Boris MEDVEDEV Alexandr
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Differential Geometry and its Applications
MU Faculty or unit	Faculty of Science
Citation
Doi	http://dx.doi.org/10.1016/j.difgeo.2014.07.001
Field	General mathematics
Keywords	Equivalence of ODEs; Point invariants; Cartan connections; Graded Lie algebras
Description	We find the complete set of fundamental invariants for systems of ordinary differential equations of order at least 4 under the group of point transformations generalizing similar results for contact invariants of a single ODE and point invariants of systems of the second and the third order.
Related projects:	Algebraické metody v geometrii s potenciálem k aplikacím