3 papers
nlin.CD2026
Dynamics and non-integrability of the Swinging Atwood Machine with a massive string: chaos, periodic orbits and resonance structures
Wojciech Szumiński, Jakub Bembenek
Building upon our previous studies on nonlinear variable-length pendulum systems, we investigate the Swinging Atwood Machine with a massive string. In contrast to the classical mod…
nlin.SI2026
Integrability of non-homogeneous Hamiltonian systems with gyroscopic coupling
Wojciech SzumiÅski, Andrzej J. Maciejewski
We study the integrability of a two-dimensional Hamiltonian system with a gyroscopic term and a non-homogeneous potential composed of two homogeneous components of different degree…
nlin.CD2026
Dynamics and non-integrability of the variable-length double pendulum: exploring chaos and periodicity via the Lyapunov refined maps
Wojciech SzumiÅski, Tomasz Kapitaniak
This paper extends our previous work~(SzumiÅski and Maciejewski, 2024), where we explored the dynamics and integrability of the double-spring pendulum. Here, we investigate the va…