The cyclicity of period annuli of some classes of reversible and non-Hamiltonian quadratic systems under quadratic perturbations are studied. The argument principle method and the centroid curve method are combined to prove that the related Abelian integral has at most two zeros.
|Journal||Discrete and Continuous Dynamical Systems|
|Publication status||Published - 1 Sep 2006|
- Abelian integral
- Limit cycle
- Reversible systems