36 citations · 73 across the 8 of their papers we have counts for
9 papers
From Spectral Curves to Variational Equations: Geometry and Differential Galois Theory of KdV Cnoidal Waves
Juan Jose Morales-Ruiz, Jean Pierre Ramis, Maria-Angeles Zurro
We provide a spectral geometric description of the KdV variational equation around cnoidal waves in terms of two interacting spectral curves.
Dynamics of the fifth Painlev{é} foliation
Emmanuel Paul, Jean-Pierre Ramis
The leaves of the Painlev{é} foliations appear as the isomonodromic deformations of a rank 2 linear connection on a moduli space of connections. Therefore they are the fibers of th…
Geometry of the space of monodromy data
Jean-Pierre Ramis, Jacques Sauloy
In a paper published by the Annales de la Faculté de Sciences de Toulouse, with Yousuke Ohyama, we defined and studied a space of monodromy data underlying the well known derivatio…
The space of monodromy data for the Jimbo-Sakai family of -difference equations
Yousuke Ohyama, Jean-Pierre Ramis, Jacques Sauloy
We formulate a geometric Riemann-Hilbert correspondence that applies to the derivation by Jimbo and Sakai of equation -PVI from ``isomonodromy'' conditions. This is a step withi…
Dynamics on Wild Character Varieties
Emmanuel Paul, Jean-Pierre Ramis
In the present paper, we will first present briefly a general research program about the study of the "natural dynamics" on character varieties and wild character varieties. Afterw…
Swinging Atwood's Machine: Experimental and Theoretical Studies
Olivier Pujol, José-Philippe Pérez, Jean-Pierre Ramis +3
A Swinging Atwood Machine (SAM) is built and some experimental results concerning its dynamic behaviour are presented. Experiments clearly show that pulleys play a role in the moti…