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Aziz, W.; Llibre, J.; Pantazi, C.

Centers of quasi-homogeneous polynomial differential equations of degree three. (English) Zbl 1295.34042

Adv. Math. 254, 233-250 (2014).
The authors study the centers of quasi-homogeneous polynomial differential systems of degree three and prove that at most one limit cycle can bifurcate from the periodic orbits of a center in such a system.
Reviewer: Valery A. Gaiko (Minsk)

Cited in 22 Documents

MSC:

34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
34C23 Bifurcation theory for ordinary differential equations

Keywords:

quasi-homogeneous polynomial differential system; center; limit cycle
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References:

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