53 citations · 79 across the 4 of their papers we have counts for
4 papers
Another New Solvable Many-Body Model of Goldfish Type
Francesco Calogero
A new solvable many-body problem is identified. It is characterized by nonlinear Newtonian equations of motion ("acceleration equal force") featuring one-body and two-body velocity…
Discrete-Time Goldfishing
Francesco Calogero
The original continuous-time "goldfish" dynamical system is characterized by two neat formulas, the first of which provides the Newtonian equations of motion of this dynamical…
The Transition from Regular to Irregular Motions, Explained as Travel on Riemann Surfaces
F. Calogero, D. Gomez-Ullate, P. M. Santini +1
We introduce and discuss a simple Hamiltonian dynamical system, interpretable as a 3-body problem in the complex plane and providing the prototype of a mechanism explaining the tra…
A solvable many-body problem in the plane
Francesco Calogero
A solvable many-body problem in the plane is exhibited. It is characterized by rotation-invariant Newtonian (``acceleration equal force'') equations of motion, featuring one-body (…