Calculation of Lyapunov Quantities for a Cubic Lienard Polynomial System

This article presents the computation of Lyapunov quantities for a nonhomogeneous cubic Lienard equation. The number of limit cycles of Lienard plane with polynomial of degree three is obtained. Evidently the analysis of system behavior near boundary of the stability domain requires the computation of Lyapunov quantities which would determine system behavior in the neighborhood of boundary.