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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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Showing 2014 · nlin.AOShow all

8 papers · 2 filters

nlin.AO2014★ 14 cited

Excitation Waves on a Minimal Small-World Model

Thomas Isele, Benedikt Hartung, Philipp Hövel +1

We examine traveling-wave solutions on a regular ring network with one additional long-range link that spans a distance d. The nodes obey the FitzHugh-Nagumo kinetics in the excita…

nlin.AO2014★ 234 cited

Robustness of chimera states for coupled FitzHugh-Nagumo oscillators

Iryna Omelchenko, Astero Provata, Johanne Hizanidis +2

Chimera states are complex spatio-temporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics. This counterintuitive phenomenon was first obs…

nlin.AO2014★ 44 cited

Partial Synchronization and Partial Amplitude Death in Mesoscale Network Motifs

Winnie Poel, Anna Zakharova, Eckehard Schöll

We study the interplay between network topology and complex space-time patterns and introduce a concept to analytically predict complex patterns in networks of Stuart-Landau oscill…

nlin.AO2014★ 47 cited

Modulating coherence resonance in non-excitable systems by time-delayed feedback

Paul M. Geffert, Anna Zakharova, Andrea Vüllings +2

We propose a paradigmatic model system, a subcritical Hopf normal form subjected to noise and time-delayed feedback, to investigate the impact of time delay on coherence resonance…

nlin.AO2014★ 29 cited

Synchronization-Desynchronization Transitions in Complex Networks: An Interplay of Distributed Time Delay and Inhibitory Nodes

Carolin Wille, Judith Lehnert, Eckehard Schöll

We investigate the combined effects of distributed delay and the balance between excitatory and inhibitory nodes on the stability of synchronous oscillations in a network of couple…

nlin.AO2014★ 53 cited

Controlling cluster synchronization by adapting the topology

Judith Lehnert, Philipp Hövel, Anton Selivanov +2

We suggest an adaptive control scheme for the control of zero-lag and cluster synchronization in delay-coupled networks. Based on the speed-gradient method, our scheme adapts the t…