18 citations · 25 across the 2 of their papers we have counts for
3 papers
cond-mat.dis-nn2009★ 18 cited
Perturbation Analysis of Complete Synchronization in Networks of Phase Oscillators
R. Toenjes, B. Blasius
The behavior of weakly coupled self-sustained oscillators can often be well described by phase equations. Here we use the paradigm of Kuramoto phase oscillators which are coupled i…
cond-mat.dis-nn2009★ 7 cited
Perturbation Analysis of the Kuramoto Phase Diffusion Equation Subject to Quenched Frequency Disorder
Ralf Toenjes, Bernd Blasius
The Kuramoto phase diffusion equation is a nonlinear partial differential equation which describes the spatio-temporal evolution of a phase variable in an oscillatory reaction diff…
cond-mat.dis-nn2005
Quasi regular concentric waves in heterogeneous lattices of coupled oscillators
Bernd Blasius, Ralf Toenjes
We study the pattern formation in a lattice of coupled phase oscillators with quenched disorder. In the synchronized regime concentric waves can arise, which are induced and increa…