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

Departament de Matemàtiques

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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.

Idioma original	Anglès
Pàgines (de-a)	233-250
Revista	Advances in Mathematics
Volum	254
DOIs	https://doi.org/10.1016/j.aim.2013.12.006
Estat de la publicació	Publicada - 20 de març 2014

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10.1016/j.aim.2013.12.006

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

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title = "Centers of quasi-homogeneous polynomial differential equations of degree three",

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.",

keywords = "Centers, Limit cycles, Quasi-homogeneous polynomial systems",

author = "C. Pantazi and J. Llibre and W. Aziz",

year = "2014",

month = mar,

day = "20",

doi = "10.1016/j.aim.2013.12.006",

language = "English",

volume = "254",

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journal = "Advances in Mathematics",

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publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Centers of quasi-homogeneous polynomial differential equations of degree three

AU - Pantazi, C.

AU - Llibre, J.

AU - Aziz, W.

PY - 2014/3/20

Y1 - 2014/3/20

N2 - 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.

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.

KW - Centers

KW - Limit cycles

KW - Quasi-homogeneous polynomial systems

UR - https://dialnet.unirioja.es/servlet/articulo?codigo=4641042

U2 - 10.1016/j.aim.2013.12.006

DO - 10.1016/j.aim.2013.12.006

M3 - Article

SN - 0001-8708

VL - 254

SP - 233

EP - 250

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Centers of quasi-homogeneous polynomial differential equations of degree three

Resum

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