Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a septic Lyapunov system
Center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of septic polynomial differential systems are investigated. By means of the computer algebra system MATHEMATICA, the first 13 quasi-Lyapunov constants are deduced. Necessary and sufficient center conditions are obtained. It is proved that there exist 13 small amplitude limit cycles bifurcating from the third-order nilpotent critical point.
scientific article; zbMATH DE number 5992375