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Symbolic Methods for Solving Algebraic Systems of Equations and Applications for Testing the Structural Stability

Yacine Bouzidi 1, 2, 3, 4 Fabrice Rouillier 1, 2, 3, 4
1 OURAGAN - OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs
Inria de Paris
2 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche
3 SU - Sorbonne Université
4 UP Médecine Paris Centre - Université de Paris - UFR Médecine Paris Centre [Santé]
Abstract : In this work, we provide an overview of the classical symbolic techniques for solving algebraic systems of equations and show the interest of such techniques in the study of some problems in dynamical system theory, namely testing the structural stability of multidimensional systems.
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Yacine Bouzidi, Fabrice Rouillier. Symbolic Methods for Solving Algebraic Systems of Equations and Applications for Testing the Structural Stability. Alban Quadrat; Eva Zerz. Algebraic and Symbolic Computation Methods in Dynamical Systems, Springer, pp.203-237, 2020, ⟨10.1007/978-3-030-38356-5_8⟩. ⟨hal-02907338⟩

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