Rational curves and ordinary differential equations
Differential Geometry
2007-05-23 v5 Classical Analysis and ODEs
Abstract
The systems of complex analytic second order ordinary differential equations whose solutions close up to become rational curves (after analytic continuation) are characterized by the vanishing of an explicit differential invariant, and turn out to provide an infinite dimensional family of integrable systems.
Cite
@article{arxiv.math/0507087,
title = {Rational curves and ordinary differential equations},
author = {Benjamin McKay},
journal= {arXiv preprint arXiv:math/0507087},
year = {2007}
}
Comments
29 pages, 1 figure, v.2 more citations, v.3 more examples, v.4 minor corrections, v.5 minor corrections