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19992026
most citedLoss of coherence in dynamical networks: spatial chaos and chimera states

446 citations · 8.5k across the 138 of their papers we have counts for

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15 papers · 1 filter

nlin.PS2019★ 54 cited

Solitary states in adaptive nonlocal oscillator networks

Rico Berner, Alicja Polanska, Eckehard Schöll +1

In this article, we analyze a nonlocal ring network of adaptively coupled phase oscillators. We observe a variety of frequency-synchronized states such as phase-locked, multicluste…

nlin.PS2016★ 50 cited

Chimeras in Leaky Integrate-and-Fire Neural Networks: Effects of Reflecting Connectivities

N. D. Tsigkri-DeSmedt, J. Hizanidis, E. Schoell +2

The effects of nonlocal and reflecting connectivity are investigated in coupled Leaky Integrate-and-Fire (LIF) elements, which assimilate the exchange of electrical signals between…

nlin.PS2014★ 18 cited

Front and Turing patterns induced by Mexican-hat-like nonlocal feedback

Julien Siebert, Eckehard Schöll

We consider the effects of a Mexican-hat-shaped nonlocal spatial coupling, i.e., symmetric long-range inhibition superimposed with short-range excitation, upon front propagation in…

nlin.PS2014★ 24 cited

Effect of small-world topology on wave propagation on networks of excitable elements

Thomas Isele, Eckehard Schöll

We study excitation waves on a Newman-Watts small-world network model of coupled excitable elements. Depending on the global coupling strength, we find differing resilience to the…

nlin.PS2014★ 24 cited

Nonlocal control of pulse propagation in excitable media

Clemens A. Bachmair, Eckehard Schöll

We study the effects of nonlocal control of pulse propagation in excitable media. As a generic example for an excitable medium the FitzHugh-Nagumo model with diffusion in the activ…

nlin.PS2014★ 31 cited

Propagation failure of excitation waves on trees and random networks

Nikos E. Kouvaris, Thomas M. Isele, Alexander S. Mikhailov +1

Excitation waves are studied on trees and random networks of coupled active elements. Undamped propagation of such waves is observed in those networks. It represents an excursion f…