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Normal Forms of Planar Polynomial Differential Systems

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Abstract

Using the invariant theory, we develop an algorithmic method, which is based on the construction of a matrix of linear transformation, to compute normal forms of planar polynomial differential systems. We illustrate our method in the case where the planar polynomial differential system is cubic.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, El Alia, BP 32, 16111, Bab Ezzouar, Algiers, Algeria

    Abderrahmane Turqui & Dahira Dali

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  1. Abderrahmane Turqui
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  2. Dahira Dali
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Correspondence to Abderrahmane Turqui.

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Turqui, A., Dali, D. Normal Forms of Planar Polynomial Differential Systems. Qual. Theory Dyn. Syst. 18, 11–33 (2019). https://doi.org/10.1007/s12346-018-0273-4

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  • DOI: https://doi.org/10.1007/s12346-018-0273-4

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