Cubic system with eight small-amplitude limit cycles

In much recent research on Hilbert's sixteenth problem, limit cycles which arise by bifurcation have been investigated. It has long been known that in quadratic systems at most three limit cycles can bifurcate from a critical point, and that the maximum number in symmetric cubic systems is five. Examples exist in the literature of cubic systems with six small-amplitude limit cycles. In this paper, a class of cubic systems with eight such limit cycles is described.