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

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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Calcul formel [cs.SC]

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chapitre_springer.pdf (484.43 Ko)

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Fabrice Rouillier : Connectez-vous pour contacter le contributeur

https://inria.hal.science/hal-02907338

Soumis le : lundi 27 juillet 2020-15:41:49

Dernière modification le : vendredi 8 novembre 2024-15:24:02

Archivage à long terme le : mardi 1 décembre 2020-07:38:00

Dates et versions

hal-02907338 , version 1 (27-07-2020)

Identifiants

HAL Id : hal-02907338 , version 1
DOI : 10.1007/978-3-030-38356-5_8

Citer

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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