Limit cycles for the Kukles system

This paper investigates the number and distributions of limit\ud cycles for the Kukles system, which also can be regarded as a\ud class of reduced Kukles system under cubic perturbation. Using\ud the techniques of bifurcation theory and qualitative analysis, we\ud have obtained three different distributions of five limit cycles\ud for the considered systems. In the first two distributions, the\ud five limit cycles are all non-small amplitude, which is very\ud different from the previous work