16 citations · 16 across the 5 of their papers we have counts for
5 papers
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\in\…
Reduced phase space and toric variety coordinatizations of Delzant spaces
J. J. Duistermaat, A. Pelayo
In this note we describe the natural coordinatizations of a Delzant space defined as a reduced phase space (symplectic geometry view-point) and give explicit formulas for the coord…
Symplectic torus actions with coisotropic principal orbits
J. J. Duistermaat, A. Pelayo
In this paper we completely classify symplectic actions of a torus on a compact connected symplectic manifold when some, hence every, principal orbit is a coisotropic…
Chaplygin's sphere
J. J. Duistermaat
Chaplygin proved the integrability by quadratures of a round sphere, rolling without slipping on a horizontal plane, with center of mass at the center of the sphere, but with arbit…
Second order Contact of Minimal Surfaces
J. J. Duistermaat
The minimal surface equation in the second order contact bundle of , modulo translations, is provided with a complex structure and a canonical vector-valued holomorphic di…