Computation of Affine Covariants of Quadratic Bivariate Differential Systems - Archive ouverte HAL
Article Dans Une Revue Journal of Complexity Année : 2000

Computation of Affine Covariants of Quadratic Bivariate Differential Systems

Driss Boularas
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Résumé

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.
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Dates et versions

hal-01315669 , version 1 (13-05-2016)

Identifiants

  • HAL Id : hal-01315669 , version 1

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Driss Boularas. Computation of Affine Covariants of Quadratic Bivariate Differential Systems. Journal of Complexity, 2000, 16 (4), pp.691-715. ⟨hal-01315669⟩
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