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Geometric Criterium in the Center Problem

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Abstract

In this paper, we use a geometric criterium based on the classical method of the construction of Lyapunov functions to determine if a differential system has a focus or a center at a singular point. This criterium is proved to be useful for several examples studied in previous works with other more specific methods.

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Authors and Affiliations

  1. Dept. Matemáticas, Facultad de Ciencias, University of Huelva, Huelva, Spain

    Antonio Algaba & Cristóbal García

  2. Departament de Matemàtica, Escola Politècnica Superior, Universitat de Lleida, Av. Jaume II, 69, 25001, Lleida, Catalonia, Spain

    Jaume Giné

Authors
  1. Antonio Algaba
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  2. Cristóbal García
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  3. Jaume Giné
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Correspondence to Jaume Giné.

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Algaba, A., García, C. & Giné, J. Geometric Criterium in the Center Problem. Mediterr. J. Math. 13, 2593–2611 (2016). https://doi.org/10.1007/s00009-015-0641-0

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  • DOI: https://doi.org/10.1007/s00009-015-0641-0

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