Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers
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Abstract
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.
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Averaging method, Homogeneous cubic centers, Isochronous center, Limit cycle, Periodic orbit, Polinomial vector field
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English
Citation
Electronic Journal of Differential Equations, v. 2015.
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