Master the complexities of differential equations with this essential text on limit cycles. Ideal for postgraduate students and researchers in India pursuing advanced mathematics, this book offers profound insights into the center-focus problem for polynomial vector fields and the application of Abelian integrals. Delve into the qualitative theory of dynamical systems and its connection to Hilbert’s sixteenth problem. The enhanced second edition provides crucial updates, clarifications, and an expanded reference list, making it indispensable for academic excellence and research in mathematical analysis.