© 2014 Elsevier Inc. All rights reserved. The main goal of this paper is to study the maximum number of limit cycles that bifurcate from the period annulus of the cubic centers that have a rational first integral of degree 2 when they are perturbed inside the class of all cubic polynomial differential systems using the averaging theory. The computations of this work have been made with Mathematica and Maple.
|Journal||Applied Mathematics and Computation|
|Publication status||Published - 1 Jan 2015|
- Averaging method
- Isochronous centers
- Limit cycles
- Periodic orbits
- Polynomial vector fields