3 citations · 9 across the 4 of their papers we have counts for
4 papers
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…
Projection blocks in homogeneous coupled cell networks
Eddie Nijholt, Bob Rink, Jan Sanders
We introduce a special subset of the graph of a homogeneous coupled cell network, called a projection block, and show that the network obtained from identifying this block to a sin…
Graph fibrations and symmetries of network dynamics
Eddie Nijholt, Bob Rink, Jan Sanders
Dynamical systems with a network structure can display collective behaviour such as synchronisation. Golubitsky and Stewart observed that all the robustly synchronous dynamics of a…