%0 Journal Article
%A Calogero, F.
%A Gómez-Ullate Otaiza, David
%A Santin, Paolo  M.
%A Sommacal, M
%T The transition from regular to irregular motions, explained as travel on Riemann surfaces
%D 2005
%@ 0305-4470
%U https://hdl.handle.net/20.500.14352/51453
%X We introduce and discuss a simple Hamiltonian dynamical system, interpretable as a three-body problem in the (complex) plane and providing the prototype of a mechanism explaining the transition from regular to irregular motions as travel on Riemann surfaces. The interest of this phenomenology-illustrating the onset in a deterministic context of irregular motions-is underlined by its generality, suggesting its eventual relevance to understand natural phenomena and experimental investigations. Here only some of our main findings are reported, without detailing their proofs: a more complete presentation will be published elsewhere.
%~