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Synchronization of second-order Kuramoto model with frustration on strongly connected digraph
Tingting Zhu, Xiongtao Zhang
We study the emergent behavior of a second-order Kuramoto-type model with frustration effect on a strongly connected digraph. The main challenge arises from the lack of symmetry in…
On the exponential synchronization for the asymmetric second-order Kuramoto model
Tingting Zhu, Xiongtao Zhang
In this paper, we study the synchronization problem of nonuniform second-order Kuramoto model with homogeneous dampings and frustration effects on an asymmetric network. More preci…
Emergent dynamics of the inertial Kuramoto model with frustration on a locally coupled graph
Tingting Zhu, Xiongtao Zhang
We study the synchronized behavior of the inertial Kuramoto oscillators with frustration effect under a symmetric and connected network. Due to the lack of second-order gradient fl…
Exponential synchronization of the Kuramoto model with inertia and frustration under locally coupled network
Tingting Zhu, Xiongtao Zhang
We study the collective synchronized behavior of the Kuramoto model with inertia and frustration effects on a connected and symmetric network. We aim to establish sufficient framew…