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Hilbert's 16th Problem for Quadratic Systems. New Methods Based on a Transformation to the Lienard Equation

G. Leonov
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Abstract

Fractionally-quadratic transformations which reduce any two-dimensional quadratic system to the special Lienard equation are introduced. Existence criteria of cycles are obtained.

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G. Leonov. 2007-03-01. Hilbert's 16th Problem for Quadratic Systems. New Methods Based on a Transformation to the Lienard Equation. https://doi.org/10.1142/s0218127408020732

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