An Interdisciplinary Journal

* 2003, Vol.6, No.1, pp.577-581*

Two-dimensional polynomial dynamical systems are
considered. Earlier we suggested two different approaches to the
second part of Hilbert's Sixteenth Problem on the maximum number
and relative position of limit cycles. The first approach is
bifurcational, and it is based on the ideas of the global
qualitative investigation. The second one is algebraic, and it is
based on the ideas solving a so-called "inverse problem'' of the
dynamical systems. In this paper, we discuss the third approach
which is based on the method of Abelian integrals.

*Key words: *
Polynomial dynamical system, Abelian integral, Limit
cycle

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Last updated: *April 21, 2003*