32 citations · 42 across the 7 of their papers we have counts for
4 papers · 1 filter
Higher order interactions lead to "reluctant" synchrony breaking
Sören von der Gracht, Eddie Nijholt, Bob Rink
To model dynamical systems on networks with higher order (non-pairwise) interactions, we recently introduced a new class of ODEs on hypernetworks. Here we consider one-parameter sy…
Chaotic behavior in diffusively coupled systems
Eddie Nijholt, Tiago Pereira, Fernando C. Queiroz +1
We study emergent oscillatory behavior in networks of diffusively coupled nonlinear ordinary differential equations. Starting from a situation where each isolated node possesses a…
A parametrisation method for high-order phase reduction in coupled oscillator networks
Sören von der Gracht, Eddie Nijholt, Bob Rink
We present a novel method for high-order phase reduction in networks of weakly coupled oscillators and, more generally, perturbations of reducible normally hyperbolic (quasi-)perio…
Hypernetworks: cluster synchronisation is a higher-order effect
Sören von der Gracht, Eddie Nijholt, Bob Rink
Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In…