Centers of quasi-homogeneous polynomial differential equations of degree three

C. Pantazi; J. Llibre; W. Aziz

doi:10.1016/j.aim.2013.12.006

Centers of quasi-homogeneous polynomial differential equations of degree three

C. Pantazi, J. Llibre, W. Aziz

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

25 Citations (Scopus)

Abstract

We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order. © 2013 Elsevier Inc.

Original language	English
Pages (from-to)	233-250
Journal	Advances in Mathematics
Volume	254
DOIs	https://doi.org/10.1016/j.aim.2013.12.006
Publication status	Published - 20 Mar 2014

Keywords

Centers
Limit cycles
Quasi-homogeneous polynomial systems

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10.1016/j.aim.2013.12.006

https://ddd.uab.cat/record/150718

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abstract = "We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order. {\textcopyright} 2013 Elsevier Inc.",

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AU - Aziz, W.

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AB - We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order. © 2013 Elsevier Inc.

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JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Centers of quasi-homogeneous polynomial differential equations of degree three

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Keywords

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