The Number of Limit Cycles Bifurcating from an Elementary Centre of Hamiltonian Differential Systems
The Number of Limit Cycles Bifurcating from an Elementary Centre of Hamiltonian Differential Systems
This paper studies the number of small limit cycles produced around an elementary center for Hamiltonian differential systems with the elliptic Hamiltonian function H=12y2+12x2−23x3+a4x4(a≠0) under two types of polynomial perturbations of degree m, respectively. It is proved that the Hamiltonian system perturbed in Liénard systems can have at least [3m−14] …