26 citations · 63 across the 5 of their papers we have counts for
5 papers
Hopf Bifurcations of Twisted States in Phase Oscillators Rings with Nonpairwise Higher-Order Interactions
Christian Bick, Tobias Böhle, Oleh E. Omel'chenko
Synchronization is an essential collective phenomenon in networks of interacting oscillators. Twisted states are rotating wave solutions in ring networks where the oscillator phase…
Higher-Order Network Interactions through Phase Reduction for Oscillators with Phase-Dependent Amplitude
Christian Bick, Tobias Böhle, Christian Kuehn
Coupled oscillator networks provide mathematical models for interacting periodic processes. If the coupling is weak, phase reduction -- the reduction of the dynamics onto an invari…
Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability and Bifurcations
Christian Bick, Tobias Böhle, Christian Kuehn
The Kuramoto model provides a prototypical framework to synchronization phenomena in interacting particle systems. Apart from full phase synchrony where all oscillators behave iden…
Community Integration Algorithms (CIAs) for Dynamical Systems on Networks
Tobias Böhle, Mechthild Thalhammer, Christian Kuehn
Dynamics of large-scale network processes underlies crucial phenomena ranging across all sciences. Forward simulation of large network models is often computationally prohibitive.…
Multi-Population Phase Oscillator Networks with Higher-Order Interactions
Christian Bick, Tobias Böhle, Christian Kuehn
The classical Kuramoto model consists of finitely many pairwise coupled oscillators on the circle. In many applications a simple pairwise coupling is not sufficient to describe rea…