Perturbing the cubic polynomial differential systems over(x, ̇) = - y (a1 x + a0) (b1 y + b0), over(y, ̇) = x (a1 x + a0) (b1 y + b0) having a center at the origin inside the class of all polynomial differential systems of degree n, we obtain using the averaging theory of second order that at most 17 n + 15 limit cycles can bifurcate from the periodic orbits of the center. © 2007 Elsevier Ltd. All rights reserved.
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 1 Jan 2009|
- Averaging theory
- Limit cycle
- Polynomial differential system