7 papers
Collective variables for homophily-driven network rewiring dynamics
Sören Nagel, Stefanie Winkelmann, Péter Koltai +2
Stochastic network rewiring processes, in which edges dynamically rewire based on fixed node attributes, are widely used in applications ranging from social dynamics to neuroscienc…
Opinion Dynamics over Migration Networks
LÅrinc Márton, Stefanie Winkelmann, Mauricio J. del Razo +1
Opinions play a crucial role in shaping collective phenomena such as political polarization, cultural integration and demographic change. By continuously changing social environmen…
Energetic characterisation of transient clustering dynamics in aggregation-diffusion systems
Nathalie Wehlitz, Richard Scherzer, Carsten Hartmann +1
We investigate transient clustering dynamics in nonlocal aggregation-diffusion systems from an energetic perspective. Starting from a stochastic interacting particle system, we stu…
Data-driven Reduction of Transfer Operators for Particle Clustering Dynamics
Nathalie Wehlitz, Grigorios A. Pavliotis, Christof Schütte +1
We develop an operator-based framework to coarse-grain interacting particle systems that exhibit clustering dynamics. Starting from the particle-based transfer operator, we first c…
Accurate mean-field equation for voter model dynamics on scale-free networks
Marvin Lücke, Stefanie Winkelmann, Péter Koltai
Understanding the emergent macroscopic behavior of dynamical systems on networks is a crucial but challenging task. One of the simplest and most effective methods to construct a re…
Unfolding the geometric structure and multiple timescales of the urea-urease pH oscillator
Arthur V. Straube, Guillermo Olicón Méndez, Stefanie Winkelmann +2
We study a two-variable dynamical system modeling pH oscillations in the urea-urease reaction within giant lipid vesicles -- a problem that intrinsically contains multiple, well-se…