Abstract
In this paper, we are interested in the local stability of planar polynomial differential systems. We develop a method 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.
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Communicated by Fariborz Azarpanah.
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Mahrez, Y., Dali, D. Algebraic Invariants and Local Stability of Planar Differential Systems. Bull. Iran. Math. Soc. 48, 3593–3617 (2022). https://doi.org/10.1007/s41980-022-00710-2
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DOI: https://doi.org/10.1007/s41980-022-00710-2