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math.DS2023★ 3 cited
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…
math.DS2016★ 1 cited
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…
math.DS2014★ 2 cited
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…