9 citations · 20 across the 3 of their papers we have counts for
4 papers · 1 filter
Mean field limits of co-evolutionary signed heterogeneous networks
Marios Antonios Gkogkas, Christian Kuehn, Chuang Xu
Many science phenomena are modelled as interacting particle systems (IPS) coupled on static networks. In reality, network connections are far more dynamic. Connections among indivi…
Continuum Limits for Adaptive Network Dynamics
Marios Antonios Gkogkas, Christian Kuehn, Chuang Xu
Adaptive (or co-evolutionary) network dynamics, i.e., when changes of the network/graph topology are coupled with changes in the node/vertex dynamics, can give rise to rich and com…
Graphop Mean-Field Limits for Kuramoto-Type Models
Marios-Antonios Gkogkas, Christian Kuehn
Originally arising in the context of interacting particle systems in statistical physics, dynamical systems and differential equations on networks/graphs have permeated into a broa…
Homogenization of Fully-Coupled Chaotic Fast-Slow Systems via Intermediate Stochastic Regularization
Maximilian Engel, Marios-Antonios Gkogkas, Christian Kuehn
In this paper we study coupled fast-slow ordinary differential equations (ODEs) with small time scale separation parameter such that, for every fixed value of the slow variable…