TY - JOUR AU - Calogero, F. AU - Gómez-Ullate Otaiza, David AU - Santini, P. M. AU - Sommacal, M. PY - 2009 DO - 10.1088/1751-8113/42/1/015205 SN - 1751-8113 UR - https://hdl.handle.net/20.500.14352/44633 T2 - Journal of physics A, Mathematical and theoretical AB - We investigate the dynamics defined by the following set of three coupled first-order ODEs: (z) over dot (n) + i omega z(n) = g(n+2)/z(n) - z(n+1) + g(n+1)/z(n) - z(n+2) It is shown that the system can be reduced to quadratures which can be expressed... LA - eng PB - IOP Publishing Ltd KW - Integrable hamiltonian-systems KW - Analytic structure KW - Periodic-solutions KW - Painleve property KW - Dynamical-systems KW - Complex time KW - Motions KW - Plane KW - Tests TI - Towards a theory of chaos explained as travel on Riemann surfaces TY - journal article VL - 42 ER -