7 citations · 12 across the 5 of their papers we have counts for
5 papers
Model order reduction via Lie groups
Yannik P. Wotte, Patrick Buchfink, Silke Glas +2
Lie groups and their actions are ubiquitous in the description of physical systems, and we explore implications in the setting of model order reduction (MOR). We present a novel fr…
Symmetric Lyapunov Subcenter Manifolds for Periodic Regulation of Mechanical Systems
Yannik P. Wotte, Arne Sachtler, Alin Albu-Schäffer +2
Multi-body mechanical systems have rich internal dynamics, whose solutions can be exploited as energy-efficient control targets. Yet, solutions non-trivially depend on system param…
Swing-Up of a Weakly Actuated Double Pendulum via Nonlinear Normal Modes
Arne Sachtler, Davide Calzolari, Maximilian Raff +5
We identify the nonlinear normal modes spawning from the stable equilibrium of a double pendulum under gravity, and we establish their connection to homoclinic orbits through the u…
Optimal Potential Shaping on SE(3) via Neural ODEs on Lie Groups
Yannik P. Wotte, Federico Califano, Stefano Stramigioli
This work presents a novel approach for the optimization of dynamic systems on finite-dimensional Lie groups. We rephrase dynamic systems as so-called neural ordinary differential…
Discovering Efficient Periodic Behaviours in Mechanical Systems via Neural Approximators
Yannik Wotte, Sven Dummer, Nicolò Botteghi +3
It is well known that conservative mechanical systems exhibit local oscillatory behaviours due to their elastic and gravitational potentials, which completely characterise these pe…