Displaying similar documents to “Some interesting series arising from the power series expansion of ( sin - 1 x ) q .”

Integrable systems in the plane with center type linear part

Javier Chavarriga (1994)

Applicationes Mathematicae

Similarity:

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.