Dynamics of Pendulum Forced by a Magnetic Excitation with Position-Dependent Phase
Abstract
This study investigates the dynamics of a magnetic pendulum under time-varying magnetic excitation with a position-dependent phase. The system exhibits complex chaotic and regular dynamics, validated through simulations and experiments. The mathematical model, based on a physical setup, includes a magnetic excitation torque with phase dependence on the dynamic variable. Bifurcation analyses confirm the rich multistability of the system, showcasing periodic attractors, period-doubling bifurcations, and chaotic behavior. Experimental validation demonstrates a high agreement between numerical and experimental results, supporting the efficacy of the proposed model. The study sheds light on the system's sensitivity to changes in magnetic interaction, providing insights into controlling resonance energy exchange in coupled magnetic pendulum systems.
Keywords
Cite
@article{arxiv.2501.00023,
title = {Dynamics of Pendulum Forced by a Magnetic Excitation with Position-Dependent Phase},
author = {Krystian Polczyński and Maksymilian Bednarek and Jan Awrejcewicz},
journal= {arXiv preprint arXiv:2501.00023},
year = {2025}
}
Comments
11 pages, 5 figures, Conference paper, Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Springer Proceedings in Physics ((SPPHY,volume 314)), Included in the following conference series: International Conference on Nonlinear Dynamics and Applications