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

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

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.

Bibliographic Details
Main Authors: Jaume Llibre, Bruno D. Lopes, Jaime R. de Moraes
Format: Article
Language:English
Published: Texas State University 2015-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Polinomial vector field
limit cycle
averaging method
periodic orbit
isochronous center
homogeneous cubic centers
Online Access:http://ejde.math.txstate.edu/Volumes/2015/271/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2015/271/abstr.html

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