Hilbert's 16th Problem for Quadratic Systems. New Methods Based on a Transformation to the Lienard Equation
Dynamical Systems
2015-06-26 v2
Abstract
Fractionally-quadratic transformations which reduce any two-dimensional quadratic system to the special Lienard equation are introduced. Existence criteria of cycles are obtained.
Cite
@article{arxiv.math/0701869,
title = {Hilbert's 16th Problem for Quadratic Systems. New Methods Based on a Transformation to the Lienard Equation},
author = {G. Leonov},
journal= {arXiv preprint arXiv:math/0701869},
year = {2015}
}