373 citations · 1.6k across the 34 of their papers we have counts for
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math.DS2022★ 16 cited
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…
math.DS2022★ 13 cited
Network Dynamics with Higher-Order Interactions: Coupled Cell Hypernetworks for Identical Cells and Synchrony
Manuela Aguiar, Christian Bick, Ana Dias
Network interactions that are nonlinear in the state of more than two nodes - also known as higher-order interactions - can have a profound impact on the collective network dynamic…