Title of article
Algebraic Invariants and Local Stability of Planar Differential Systems
Author/Authors
Mahrez ، Yugurta Department of Mathematics - Faculty of Mathematics - University of Sciences and Technology Houari Boumediene , Dali ، Dahira Department of Mathematics - Faculty of Mathematics - University of Sciences and Technology Houari Boumediene
From page
3593
To page
3617
Abstract
In this paper, we are interested in the local stability of planar polynomial differential systems.We develop amethod to determine the resolvent of a given differential system, avoiding the resultants of two polynomials, and then provide a constructive process to characterize the nature of the hyperbolic singularities with the help of algebraic invariants for the considered system. Our method applies in the case where the system is a planar quadratic differential system.
Keywords
Polynomial differential system , Invariant , Gröbner bases , Linear transformation
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2775199
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