38 citations · 70 across the 4 of their papers we have counts for
4 papers
Understanding complex dynamics by means of an associated Riemann surface
David Gomez-Ullate, Paolo Santini, Matteo Sommacal +1
We provide an example of how the complex dynamics of a recently introduced model can be understood via a detailed analysis of its associated Riemann surface. Thanks to this geometr…
Solvable Nonlinear Evolution PDEs in Multidimensional Space
Francesco Calogero, Matteo Sommacal
A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relat…
Periodic solutions of a many-rotator problem in the plane. II. Analysis of various motions
F. Calogero, J-P. Françoise, M. Sommacal
Various solutions are displayed and analyzed (both analytically and numerically) of arecently-introduced many-body problem in the plane which includes both integrable and nonintegr…
Periodic solutions of a system of complex ODEs. II. Higher periods
F. Calogero, M. Sommacal
In a previous paper the \textit{real} evolution of the system of ODEs \ddot{z}_{n} + z_{n}=\sum\limits_{m = 1, m \ne n}^{N} g_{nm}{(z_{n} - z_{m})} ^{- 3}, z_{n} \equiv z_{n}(t), \…