Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers

Jaume Llibre; Bruno D. Lopes; Jaime R. De Moraes

Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers

Jaume Llibre, Bruno D. Lopes, Jaime R. De Moraes

Department of Mathematics

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

2 Citations (Scopus)

Abstract

© 2015 Texas State University. We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems of degree n.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2015
Publication status	Published - 21 Oct 2015

Keywords

Averaging method
Homogeneous cubic centers
Isochronous center
Limit cycle
Periodic orbit
Polinomial vector field

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@article{48d6efc731dd4afeb7716b3ed4c5df09,

title = "Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers",

abstract = "{\textcopyright} 2015 Texas State University. We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems of degree n.",

keywords = "Averaging method, Homogeneous cubic centers, Isochronous center, Limit cycle, Periodic orbit, Polinomial vector field",

author = "Jaume Llibre and Lopes, {Bruno D.} and {De Moraes}, {Jaime R.}",

year = "2015",

month = oct,

day = "21",

language = "English",

volume = "2015",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

}

TY - JOUR

T1 - Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers

AU - Llibre, Jaume

AU - Lopes, Bruno D.

AU - De Moraes, Jaime R.

PY - 2015/10/21

Y1 - 2015/10/21

N2 - © 2015 Texas State University. We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems of degree n.

AB - © 2015 Texas State University. We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems of degree n.

KW - Averaging method

KW - Homogeneous cubic centers

KW - Isochronous center

KW - Limit cycle

KW - Periodic orbit

KW - Polinomial vector field

M3 - Article

SN - 1072-6691

VL - 2015

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers

Abstract

Keywords

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