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

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

2007-01-30

arxiv.org/abs/math/0701869v2

Mathematics

Dynamical Systems

Scientific paper

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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