Computation of Affine Covariants of Quadratic Bivariate Differential Systems
Boularas, Driss
HAL, hal-01315669 / Harvested from HAL
Text on HAL
This paper deals with affine covariants of autonomous differential systems. We give a constructive method for computing them. This method allows in particular to deduce a (minimal) system of generators of the algebra of affine covariants from one of centro-afffine invariants.In the case of planar quadratic differential systems, we give a minimal system of the algebra of center-affine covariants and using the previous method we construct a minimal system of generators of the algebra of affine covariants. Computations are made with Maple. All algorithms constitute the package SIB.
Publié le : 2000-12-04
Classification:  Invariant theory,  polynomial differential systems,  minimal generator system,  syzygies,  [MATH]Mathematics [math] 
@article{hal-01315669,
     author = {Boularas, Driss},
     title = { Computation of Affine Covariants of Quadratic Bivariate Differential Systems},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01315669}
}

Boularas, Driss.  Computation of Affine Covariants of Quadratic Bivariate Differential Systems. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-01315669/