Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2

作者：Llibre Jaume^*; Lopes Bruno D; de Moraes Jaime R

来源：Applied Mathematics and Computation, 2015, 250: 887-907.

DOI：10.1016/j.amc.2014.11.029

• Polynomial vector fields
• Limit cycles
• Isochronous centers
• Periodic orbits
• Averaging method

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.

• 出版日期2015-1-1