2 citations · 2 across the 5 of their papers we have counts for
5 papers
Lie Meets Network Dynamics: Exact Macroscopic Reductions (Finite Systems)
Erik Andreas Martens, Sanjay Dharmavaram
We establish a unified framework for exact dimensional reductions in network dynamical systems using Lie-Scheffers theory. For network dynamical systems with \emph{mean-field Lie-S…
Effect of antibiotic spectrum on the abundance of resistant bacteria in multispecies communities
Magnus Aspenberg, Erik Andreas Martens, Kristofer Wollein Waldetoft
Antibiotic resistance is a major threat to global health. It emerges in multispecies microbial communities under antibiotic exposure. This makes antibiotic spectrum --- a drug's di…
Stable equilibria in the Lotka-Volterra equations
Magnus Aspenberg, Erik Martens, Kristofer Wollein Waldetoft
We consider the Lotka-Volterra system and provide necessary conditions for an equilibrium to be stable. Our results naturally complement earlier fundamental results by N. Adachi, Y…
Exact Dimensional Reduction for Quasi-Linear ODE Ensembles
Felix Augustsson, Erik Andreas Martens, Rok Cestnik
We present an exact dimensional reduction for high-dimensional dynamical systems composed of identical dynamical units governed by quasi-linear ordinary differential equations…
Next-Generation Reservoir Computing for Dynamical Inference
Rok Cestnik, Erik A. Martens
We present a simple and scalable implementation of next-generation reservoir computing (NGRC) for modeling dynamical systems from time-series data. The method uses a pseudorandom n…