Geodesic
Integrable systems in the plane with center type linear part
Applicationes Mathematicae, Tome 22 (1993) no. 2, pp. 285-309 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study integrability of two-dimensional autonomous systems in the plane with center type linear part. For quadratic and homogeneous cubic systems we give a simple characterization for integrable cases, and we find explicitly all first integrals for these cases. Finally, two large integrable system classes are determined in the most general nonhomogeneous cases.
DOI : 10.4064/am-22-2-285-309
Keywords: integrable systems in the plane, center-focus problem

Javier Chavarriga 1

1 
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Javier Chavarriga. Integrable systems in the plane with center type linear part. Applicationes Mathematicae, Tome 22 (1993) no. 2, pp. 285-309. doi: 10.4064/am-22-2-285-309

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