The theory of bifurcation of limit cycles for perturbed Hamiltonian planar systems was discussed. A limit cycle bifurcates in the perturbed system from the periodic orbits of the unperturbed system. The analytical computation was performed for the bifurcated limit cycles from a Hamiltonian center perturbed by an arbitrary analytical vector field.
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 1 Jan 2002|
- Limit cycles
- Melnikov functions
- Planar systems