Dresden 2026 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 8: Nonlinear Dynamics, Synchronization, and Chaos

DY 8.6: Talk

Monday, March 9, 2026, 11:15–11:30, ZEU/0118

Energy Transfer in a Coupled Duffing System — •Martyna Sedlmayr and Andrzej Rysak — Faculty of Mechanical Engineering, Lublin University of Technology, 36 Nadbystrzycka St., 20-618 Lublin, Poland

The Duffing system is a non-linear prototypical chaotic system, of interest in studies of damping and energy harvesting. In this work we analyse modifications to the energy transfer in the system when it is magnetically coupled to a harmonic oscillator. The form of the magnetic interaction is obtained from a fit to experimental data. Numerical analyses then determine the power either dissipated by, or supplied to, the Duffing system by its individual components. In all simulations, the Duffing potential itself is not changed. Our analysis focuses on assessing the impact of the coupled oscillator on the energy efficiency of the system. We demonstrate the effects of changing the value of the mass, the damping and the elasticity of the perturbing system. We focus on searching for configurations of the perturbation for which an increase in efficiency occurs, which can be caused by either modifying the dynamics or by providing additional energy.

Keywords: Duffing; Energy Efficiency; Non-Linear Systems