Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a cubic Lyapunov system
The paper centers around the center problem for nilpotent singular points and bifurcation of small limit cycles from the singularity. More precisely, a certain three-order nilpotent critical point in a cubic system is studied. The main results are the center conditions for this system and the fact that there exist perturbed systems from the original one with 7 small amplitude limit cycles.
scientific article; zbMATH DE number 6048816