Información del autor
Autor Gómez-Ullate Otaiza, David |
Documentos disponibles escritos por este autor (30)
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Calogero, F. ; Gómez-Ullate Otaiza, David ; Santin, Paolo M. ; Sommacal, M | IOP Publishing | 2005-10-14We 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 Riem[...]![]()
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Calogero, F. ; Gómez-Ullate Otaiza, David ; Santini, P. M. ; Sommacal, M. | IOP publishing ltd | 2009-01-09We 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 expr[...]![]()
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Two novel classes of many-body models with nonlinear interactions 'of goldfish type' are introduced. They are solvable provided the initial data satisfy a single constraint (in one case; in the other, two constraints), i.e., for such initial dat[...]![]()
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It has been recently discovered that exceptional families of Sturm-Liouville orthogonal polynomials exist, that generalize in some sense the classical polynomials of Hermite, Laguerre and Jacobi. In this paper we show how new families of excepti[...]![]()
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We provide an example of how the complex dynamics of a recently introduced model can be understood via a detailed analysis of its associated Riemann surface. Thanks to this geometric description an explicit formula for the period of the orbits c[...]