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In this paper we discuss a family of toy models for many-body interactions including velocity-dependent forces. By generalizing a construction due to Calogero, we obtain a class of N-body problems in the plane which have periodic orbits for a la[...]texto impreso
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[...]
