Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843489 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 14 Pages |
Abstract
Perturbing the cubic polynomial differential systems ẋ=−y(a1x+a0)(b1y+b0), ẏ=x(a1x+a0)(b1y+b0) having a center at the origin inside the class of all polynomial differential systems of degree nn, we obtain using the averaging theory of second order that at most 17n+1517n+15 limit cycles can bifurcate from the periodic orbits of the center.
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Authors
Jaume Llibre, Hao Wu, Jiang Yu,