Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
The classification of GL(2,R)-orbits' dimensions for system s(0, 2) and the factorsystem s(0, 1,2)/GL(2,R).
Authors: E.V. Starus
– 0.09 Mb
Abstract
Two-dimensional systems of two autonomous polynomial differential equations with homogeneities of the zero, first and second orders are considered with respect to the group of center-affine transformations GL(2,R). The problem of the classification of GL(2,R)-orbits' dimensions is solved completely for system s(0,2) with the help of Lie algebra of operators corresponding to GL(2,R) group, and algebras of invariants and comitants. A factorsystem s(0, 1, 2)/GL(2,R) for system s(0, 1, 2) is built and with its help two invariant GL(2,R)-integrals are obtained for the system s(1, 2) in some necessary conditions for the existence of singular point of the type "center".Institute of Mathematics and Computer Science
5 Academiei str., Chisinau,
MD-2028 Moldova
E-mail:
5 Academiei str., Chisinau,
MD-2028 Moldova
E-mail:
Fulltext
– 0.09 Mb
Contents
- On overnilpotent radicals of topological rings.
- Semitopological isomorphism of topological groups.
- Special radicals of graded rings.
- Generating properties of biparabolic invertible polynomial maps in three variables.
- Rings over which some preradicals are torsions.
- Transfer properties in radical theory.
- Exponent matrices and their quivers.
- Radicals of rings with involution.
- Radicals around Kothe's problem.
- Wedderburn decomposition of LCM-rings.
- Totally bounded rings and their groups of units.
- The radical theory of convolution rings.
- Artinal special Lie superalgebras.
- The classification of GL(2,R)-orbits' dimensions for system s(0, 2) and the factorsystem s(0, 1,2)/GL(2,R).
