 9796 Giacomini H., Neukirch S.
 On the number of limit cycles of the Lienard equation
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Feb 27, 97

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Abstract. In this paper, we study a Lienard system of the form
dot{x}=yF(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.
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