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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
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.CD2024
Dynamics and non-integrability of the double spring pendulum
Wojciech SzumiÅski, 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…