Rational curves and ordinary differential equations
微分几何
2007-05-23 v5 经典分析与常微分方程
摘要
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.
引用
@article{arxiv.math/0507087,
title = {Rational curves and ordinary differential equations},
author = {Benjamin McKay},
journal= {arXiv preprint arXiv:math/0507087},
year = {2007}
}
备注
29 pages, 1 figure, v.2 more citations, v.3 more examples, v.4 minor corrections, v.5 minor corrections