RT Journal Article
T1 The transition from regular to irregular motions, explained as travel on Riemann surfaces
A1 Calogero, F.
A1 Gómez-Ullate Otaiza, David
A1 Santin, Paolo  M.
A1 Sommacal, M
AB 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.
PB IOP Publishing
SN 0305-4470
YR 2005
FD 2005-10-14
LK https://hdl.handle.net/20.500.14352/51453
UL https://hdl.handle.net/20.500.14352/51453
LA eng
NO © IOP Publishing. It is a pleasure to acknowledge illuminating discussions with Boris Dubrovin, YuriFedorov, Jean-Pierre Fran¸coise, Fran¸cois Leyvraz, Jaume Llibre, Alexander Mikhailov and Carles Simó.
DS Docta Complutense
RD 8 jun 2026