Bifurcation for a class of piecewise cubic systems with two centers
In this paper, a class of symmetric cubic planar piecewise polynomial systems are presented, which have two symmetric centers corresponding to two period annuli. By perturbation and considering piecewise first order Melnikov function, we show the existence of 18 limit cycles (not small-amplitude lim...
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| Veröffentlicht in: | Electronic journal of qualitative theory of differential equations 2022-01, Vol.2022 (46), p.1-12 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, a class of symmetric cubic planar piecewise
polynomial systems are presented, which have two symmetric centers
corresponding to two period annuli. By perturbation and considering
piecewise first order Melnikov function, we show the existence of 18 limit
cycles (not small-amplitude limit cycles) with the configuration
(
9
,
9
)
bifurcating from the two period annuli and 22 small-amplitude limit cycles
with the configuration
(
11
,
11
)
, respectively. |
|---|---|
| ISSN: | 1417-3875 1417-3875 |
| DOI: | 10.14232/ejqtde.2022.1.46 |