Mediterranean Journal of Mathematics

, Volume 13, Issue 5, pp 2593–2611 | Cite as

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.

Mathematics Subject Classification

Primary 34C05 Secondary 34C23 37G15 

Keywords

Nonlinear differential systems integrability problem degenerate center problem 
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Copyright information

© Springer Basel 2015

Authors and Affiliations

  • Antonio Algaba
    • 1
  • Cristóbal García
    • 1
  • Jaume Giné
    • 2
  1. 1.Dept. Matemáticas, Facultad de CienciasUniversity of HuelvaHuelvaSpain
  2. 2.Departament de Matemàtica, Escola Politècnica SuperiorUniversitat de LleidaLleidaSpain

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