Cyclicity of a class of polynomial nilpotent center singularities
Cyclicity of a class of polynomial nilpotent center singularities
In this work we extend techniques based on computational algebra for bounding the cyclicity of nondegenerate centers tonilpotent centers in a natural class of polynomial systems, those of the form $\dot x = y + P_{2m + 1}(x,y)$,$\dot y = Q_{2m + 1}(x,y)$, where $P_{2m+1}$ and $Q_{2m+1}$ are homogeneous polynomials …