Rational curves and ordinary differential equations

Details Rational curves and ordinary differential equations Rational curves and ordinary differential equations

2005-07-05

arxiv.org/abs/math/0507087v5

Mathematics

Differential Geometry

29 pages, 1 figure, v.2 more citations, v.3 more examples, v.4 minor corrections, v.5 minor corrections

Scientific paper

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.

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