The number of limit cycles bifurcating from the periodic orbits of an isochronous center

The number of limit cycles bifurcating from the periodic orbits of an isochronous center

This paper concerns the bifurcation of limit cycles for a quartic system with an isochronous center. By using the averaging theory, it shows that under any small quintic homogeneous perturbations, at most 14 limit cycles birfucate from the period annulus of the considered system.

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Veröffentlicht in:Mathematical methods in the applied sciences 2019-02, Vol.42 (3), p.821-829
Hauptverfasser: Bey, Meryem, Badi, Sabrina, Fernane, Khairedine, Makhlouf, Amar
Format: Artikel
Sprache:eng
Schlagworte:
averaging theory
Bifurcations
Economic models
isochronous center
limit cycle
Orbits
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Zusammenfassung:This paper concerns the bifurcation of limit cycles for a quartic system with an isochronous center. By using the averaging theory, it shows that under any small quintic homogeneous perturbations, at most 14 limit cycles birfucate from the period annulus of the considered system.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5385