Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620227 | Journal of Mathematical Analysis and Applications | 2009 | 8 Pages |
Abstract
We consider perturbations of the parallel flows on each invariant sphere by homogeneous polynomials of degree , and obtain the least upper bound of the number of limit cycles appearing on the sphere by using the Poincaré map and the averaging method.
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