Abstract

This tutorial survey presents a method for computing the Lyapunov quantities for Liénard systems of differential equations using symbolic manipulation packages. The theory is given in detail and simple working MATLAB and Maple programs are listed in this chapter. In recent years, the author has been contacted by many researchers requiring more detail on the algorithmic method used to compute focal values and Lyapunov quantities. It is hoped that this article will address the needs of those and other researchers. Research results are also given here.KeywordsBifurcationLiénard equationlimit cycleMapleMATLABsmall-amplitude

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