274 citations · 1.8k across the 48 of their papers we have counts for
6 papers · 1 filter
Tensor-based computation of metastable and coherent sets
Feliks Nüske, Patrick Gelß, Stefan Klus +1
Recent years have seen rapid advances in the data-driven analysis of dynamical systems based on Koopman operator theory and related approaches. On the other hand, low-rank tensor p…
Nearest-Neighbor Interaction Systems in the Tensor-Train Format
Patrick Gelß, Stefan Klus, Sebastian Matera +1
Low-rank tensor approximation approaches have become an important tool in the scientific computing community. The aim is to enable the simulation and analysis of high-dimensional p…
Tensor-based dynamic mode decomposition
Stefan Klus, Patrick Gelß, Sebastian Peitz +1
Dynamic mode decomposition (DMD) is a recently developed tool for the analysis of the behavior of complex dynamical systems. In this paper, we will propose an extension of DMD that…
Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator
Stefan Klus, Christof Schütte
The global behavior of dynamical systems can be studied by analyzing the eigenvalues and corresponding eigenfunctions of linear operators associated with the system. Two important…
Sensing and Control in Symmetric Networks
Michael Dellnitz, Stefan Klus
In engineering applications, one of the major challenges today is to develop reliable and robust control algorithms for complex networked systems. Controllability and observability…
Signal-Flow Based Runge-Kutta Methods for the Simulation of Complex Networks
Stefan Klus
Complex dynamical networks appear in a wide range of physical, biological, and engineering systems. The coupling of subsystems with varying time scales often results in multirate b…