Complexity reduction of C-Algorithm

Abstract: The C-Algorithm introduced in is designed to determine isochronous centers for Lienard-type differential systems, in the general real analytic case. However, it has a large complexity that prevents computations, even in the quartic polynomial case. The main result of this paper is an efficient algorithmic implementation of C-Algorithm, called ReCA (Reduced C-Algorithm). Moreover, an adapted version of it is proposed in the rational case. It is called RCA (Rational C-Algorithm) and is widely used in to find many new examples of isochronous centers for the Liénard type equation. [Copyright &y& Elsevier]