Limit cycles in the plane: Contributions from Chile

This article aims to highlight some important contributions made from Chile to the study of limit cycles of polynomial differential systems in the real plane, concerning the second half of Hilbert's sixteenth problem. This work is based on two main motivations: on the one hand, some of the results we analyze have not received the attention they deserve; and on the other hand, we expect renewed momentum in the coming decades in the study of limit cycles of polynomial differential systems. The results we present are situated within the international landscape, and we examine research challenges in this field.