439 citations · 769 across the 19 of their papers we have counts for
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math.DS2023★ 6 cited
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…
math.DS2013★ 138 cited
Controlling unstable chaos: Stabilizing chimera states by feedback
Jan Sieber, Oleh Omel'chenko, Matthias Wolfrum
We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high d…