32 citations · 36 across the 3 of their papers we have counts for
5 papers · 1 filter
Emergent hypernetworks in weakly coupled oscillators
Eddie Nijholt, Jorge Luis Ocampo-Espindola, Deniz Eroglu +2
Networks of weakly coupled oscillators had a profound impact on our understanding of complex systems. Studies on model reconstruction from data have shown prevalent contributions f…
Quiver representations and dimension reduction in dynamical systems
Eddie Nijholt, Soeren Schwenker, Bob Rink
Dynamical systems often admit geometric properties that must be taken into account when studying their behaviour. We show that many such properties can be encoded by means of quive…
Circulant Type Formulas for the Eigenvalues of Linear Network Maps
Lee DeVille, Eddie Nijholt
Given an admissible map F for a homogeneous network N, it is known that the Jacobian DF(x) around a fully synchronous point x = (x0, ..., x0) is again an admissible map for N. Moti…
Transversality in Dynamical Systems with Generalized Symmetry
Eddie Nijholt, Bob Rink
We prove that a generic -parameter bifurcation of a dynamical system with a monoid symmetry occurs along a generalized kernel or center subspace of a particular type. More preci…
Center manifolds of coupled cell networks
Eddie Nijholt, Bob Rink, Jan Sanders
Dynamical systems with a network structure can display anomalous bifurcations as a generic phenomenon. As an explanation for this it has been noted that homogeneous networks can be…