Limit cycles bifurcating from planar polynomial quasi-homogeneous centers

Jaume Giné; Maite Grau; Jaume Llibre

doi:https://doi.org/10.1016/j.jde.2015.08.014

Limit cycles bifurcating from planar polynomial quasi-homogeneous centers

Jaume Giné, Maite Grau, Jaume Llibre

Department of Mathematics

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

9 Citations (Scopus)

Abstract

© 2015 Elsevier Inc. In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].

Original language	English
Pages (from-to)	7135-7160
Journal	Journal of Differential Equations
Volume	259
Issue number	12
DOIs	https://doi.org/10.1016/j.jde.2015.08.014
Publication status	Published - 1 Jan 2015

Keywords

Bifurcation of limit cycles
Quasi-homogeneous centers
Quasi-homogeneous polynomial differential equations

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https://doi.org/10.1016/j.jde.2015.08.014

https://ddd.uab.cat/record/145282

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title = "Limit cycles bifurcating from planar polynomial quasi-homogeneous centers",

abstract = "{\textcopyright} 2015 Elsevier Inc. In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].",

keywords = "Bifurcation of limit cycles, Quasi-homogeneous centers, Quasi-homogeneous polynomial differential equations",

author = "Jaume Gin{\'e} and Maite Grau and Jaume Llibre",

year = "2015",

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day = "1",

doi = "https://doi.org/10.1016/j.jde.2015.08.014",

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journal = "Journal of Differential Equations",

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publisher = "Academic Press Inc.",

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T1 - Limit cycles bifurcating from planar polynomial quasi-homogeneous centers

AU - Giné, Jaume

AU - Grau, Maite

AU - Llibre, Jaume

PY - 2015/1/1

Y1 - 2015/1/1

N2 - © 2015 Elsevier Inc. In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].

AB - © 2015 Elsevier Inc. In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].

KW - Bifurcation of limit cycles

KW - Quasi-homogeneous centers

KW - Quasi-homogeneous polynomial differential equations

U2 - https://doi.org/10.1016/j.jde.2015.08.014

DO - https://doi.org/10.1016/j.jde.2015.08.014

M3 - Article

VL - 259

SP - 7135

EP - 7160

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 12

ER -

Limit cycles bifurcating from planar polynomial quasi-homogeneous centers

Abstract

Keywords

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