97-96 Giacomini H., Neukirch S.

On the number of limit cycles of the Lienard equation (150K, LaTex) Feb 27, 97

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. In this paper, we study a Lienard system of the form dot{x}=y-F(x) ; dot{y}=-x, where F(x) is an odd polynomial. We introduce a method that gives a sequence of algebraic approximations to the equation of each limit cycle of the system. This sequence seems to converge to the exact equation of each limit cycle. We obtain also a sequence of polynomials R_n(x) whose roots of odd multiplicity are related to the number and location of the limit cycles of the system.

Files: 97-96.tex