Limit cycles of perturbed global isochronous center

  1. Zouhair Diab 1
  2. Maria Teresa de Bustos 2
  3. Miguel Ángel López 3
  4. Raquel Martínez 3
  1. 1 Larbi Tebessi University (Argelia)
  2. 2 University of Salamanca (ESP)
  3. 3 University of Castilla-La Mancha (ESP)
Zeitschrift:
3c Tecnología: glosas de innovación aplicadas a la pyme

ISSN: 2254-4143

Datum der Publikation: 2022

Ausgabe: 11

Nummer: 2

Seiten: 25-36

Art: Artikel

Andere Publikationen in: 3c Tecnología: glosas de innovación aplicadas a la pyme

Zusammenfassung

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