Integrable systems in the plane with center type linear part
Volume 22 / 1994
Applicationes Mathematicae 22 (1994), 285-309
DOI: 10.4064/am-22-2-285-309
Abstract
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.
