TY - JOUR AU - Calogero, F. AU - Gómez-Ullate Otaiza, David AU - Santin, Paolo M. AU - Sommacal, M PY - 2005 DO - 10.1088/0305-4470/38/41/004 SN - 0305-4470 UR - https://hdl.handle.net/20.500.14352/51453 T2 - Journal of physics A: Mathematical and general 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... LA - eng M2 - 8873 PB - IOP Publishing KW - Many-body problem KW - Solvable dynamical-systems KW - Periodic-solutions KW - Differential-equations KW - Hamiltonian-systems KW - Oscillators KW - Painleve KW - Nonintegrability KW - Integrability KW - Galore TI - The transition from regular to irregular motions, explained as travel on Riemann surfaces TY - journal article VL - 38 ER -