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Polynomial first integrals for quasi-homogeneous polynomial differential systems

Nonlinearity, 2002
Here, several results concerning first integrals of homogeneous polynomial systems of differential equations are generalized to quasi-homogeneous polynomial systems. Properties of such systems are characterized in terms of the eigenvalues of the associated Kowalevskaya matrix.
J. Llibre, Xiang Zhang
semanticscholar   +3 more sources

Phase portraits of the quadratic vector fields with a polynomial first integral

Rendiconti Del Circolo Matematico Di Palermo, 2006
Belen García   +2 more
semanticscholar   +3 more sources

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