Limit cycles of perturbed global isochronous center

• Zouhair Diab ^[2] ; Maria Teresa de Bustos ^[1] ; Miguel Ángel López ^[3] ; Raquel Martínez ^[3]
  1. [1] Universidad de Salamanca

     Universidad de Salamanca

     Salamanca, España

     
  2. [2] Larbi Tebessi University (Argelia)
  3. [3] University of Castilla-La Mancha (ESP)

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• Localización: 3c Tecnología: glosas de innovación aplicadas a la pyme, ISSN-e 2254-4143, Vol. 11, Nº. 2, 2022, págs. 25-36
• Idioma: inglés
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• Resumen

  • We apply the averaging method of first order to study the maximum number of limit cycles of the ordinary differential systems of the form x¨ + x = ε (f1(x, y)y + f2 (x, y)), y¨ + y = ε (g1(x, y)x + g2 (x, y)), where f1(x, y) and g1(x, y) are real cubic polynomials; f2(x, y) and g2(x, y) are real quadratic polynomials.

    Furthermore ε is a small parameter