64 citations · 260 across the 18 of their papers we have counts for
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nlin.CD2025
Non-integrability of charged three-body problem
Maria Przybylska, Andrzej J. Maciejewski
We consider the problem of points with positive masses interacting pairwise with forces inversely proportional to the distance between them. In particular, it is the classical…
nlin.CD2025★ 1 cited
Top on a smooth plane
Maria Przybylska, Andrzej Maciejewski
We investigate the dynamics of a sliding top that is a rigid body with an ideal sharp tip moving in a perfectly smooth horizontal plane, so no friction forces act on the body. We p…
nlin.CD2017
Non-integrability of the semiclassical Jaynes--Cummings models without the rotating-wave approximation
Andrzej J. Maciejewski, Wojciech Szumiński
Two versions of the semi-classical Jaynes--Cummings model without the rotating wave approximation are investigated. It is shown that for a non-zero value of the coupling constant t…