Okamoto's space for the first Painlevé equation in Boutroux coordinates

J. J. Duistermaat, N. Joshi

We study the completeness and connectedness of asymptotic behaviours of solutions of the first Painlevé equation $\op{d}^2y/\op{d}x^2=6\, y^2+ x$, in the limit $x\to \infty$, $x\in\…