86 citations · 1k across the 58 of their papers we have counts for
5 papers · 1 filter
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…
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…
Dynamics and non-integrability of the double spring pendulum
Wojciech Szumiński, Andrzej J. Maciejewski
This paper investigates the dynamics and integrability of the double spring pendulum, which has great importance in studying nonlinear dynamics, chaos, and bifurcations. Being a Ha…
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…
Non-integrability of the dumbbell and point mass problem
Andrzej J. Maciejewski, Maria Przybylska, Leon Simpson +1
This paper discusses a constrained gravitational three-body problem with two of the point masses separated by a massless inflexible rod to form a dumbbell. The non-integrability of…