782 citations · 5.6k across the 83 of their papers we have counts for
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Network-complement transitions, symmetries, and cluster synchronization
Takashi Nishikawa, Adilson E. Motter
Synchronization in networks of coupled oscillators is known to be largely determined by the spectral and symmetry properties of the interaction network. Here we leverage this relat…
Chimera States in Continuous Media: Existence and Distinctness
Zachary G. Nicolaou, Hermann Riecke, Adilson E. Motter
The defining property of chimera states is the coexistence of coherent and incoherent domains in systems that are structurally and spatially homogeneous. The recent realization tha…
Cascading Failures as Continuous Phase-Space Transitions
Yang Yang, Adilson E. Motter
In network systems, a local perturbation can amplify as it propagates, potentially leading to a large-scale cascading failure. Here we derive a continuous model to advance our unde…
Identical synchronization of nonidentical oscillators: when only birds of different feathers flock together
Yuanzhao Zhang, Adilson E. Motter
An outstanding problem in the study of networks of heterogeneous dynamical units concerns the development of rigorous methods to probe the stability of synchronous states when the…
Stable Chimeras and Independently Synchronizable Clusters
Young Sul Cho, Takashi Nishikawa, Adilson E. Motter
Cluster synchronization is a phenomenon in which a network self-organizes into a pattern of synchronized sets. It has been shown that diverse patterns of stable cluster synchroniza…
Asymmetry-Induced Synchronization in Oscillator Networks
Yuanzhao Zhang, Takashi Nishikawa, Adilson E. Motter
A scenario has recently been reported in which in order to stabilize complete synchronization of an oscillator network---a symmetric state---the symmetry of the system itself has t…