373 citations · 1.6k across the 34 of their papers we have counts for
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math.DS2018★ 18 cited
Heteroclinic Dynamics of Localized Frequency Synchrony: Stability of Heteroclinic Cycles and Networks
Christian Bick, Alexander Lohse
In the first part of this paper, we showed that three coupled populations of identical phase oscillators give rise to heteroclinic cycles between invariant sets where populations s…
math.DS2018★ 20 cited
Heteroclinic Dynamics of Localized Frequency Synchrony: Heteroclinic Cycles for Small Populations
Christian Bick
Many real-world systems can be modeled as networks of interacting oscillatory units. Collective dynamics that are of functional relevance for the oscillator network, such as switch…
nlin.CD2018★ 48 cited
Chaos in Kuramoto oscillator networks
Christian Bick, Mark J. Panaggio, Erik A. Martens
Kuramoto oscillators are widely used to explain collective phenomena in networks of coupled oscillatory units. We show that simple networks of two populations with a generic coupli…