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- Iryna Omelchenko, Oleh E Omel'chenko, Philipp Hövel, Eckehard Schöll
- Physical review letters
- 2013

Systems of nonlocally coupled oscillators can exhibit complex spatiotemporal patterns, called chimera states, which consist of coexisting domains of spatially coherent (synchronized) and incoherent dynamics. We report on a novel form of these states, found in a widely used model of a limit-cycle oscillator if one goes beyond the limit of weak coupling… (More)

- Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel, Eckehard Schöll
- Physical review letters
- 2011

We discuss the breakdown of spatial coherence in networks of coupled oscillators with nonlocal interaction. By systematically analyzing the dependence of the spatiotemporal dynamics on the range and strength of coupling, we uncover a dynamical bifurcation scenario for the coherence-incoherence transition which starts with the appearance of narrow layers of… (More)

- Aaron M Hagerstrom, Thomas E Murphy, Rajarshi Roy, Philipp Hövel, Iryna Omelchenko, Eckehard Schöll
- 2012

1 can support chimera states in which identical oscillators evolve into distinct groups that exhibit coexisting synchronous and incoherent behaviours despite homogeneous coupling 2–6. Similar nonlocal coupling topologies implemented in networks of chaotic iterated maps also yield dynamical states exhibiting coexisting spatial domains of coherence and… (More)

The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. A time delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic synchronization of instantaneously coupled neurons under the influence of white noise can be deliberately controlled by local… (More)

- Chol-Ung Choe, Thomas Dahms, Philipp Hövel, Eckehard Schöll
- Physical review. E, Statistical, nonlinear, and…
- 2010

We study synchronization in delay-coupled oscillator networks using a master stability function approach. Within a generic model of Stuart-Landau oscillators (normal form of supercritical or subcritical Hopf bifurcation), we derive analytical stability conditions and demonstrate that by tuning the coupling phase one can easily control the stability of… (More)

- Markus A Dahlem, Rudolf Graf, Anthony J Strong, Jens P Dreier, Yuliya A Dahlem, Michaela Sieber +3 others
- 2009

We present spatio-temporal characteristics of spreading depolarizations (SD) in two experimental systems: retracting SD wave segments observed with intrinsic optical signals in chicken retina, and spontaneously occurring re-entrant SD waves that repeatedly spread across gyrencephalic feline cortex observed by laser speckle flowmetry. A mathematical… (More)

- Caitlin R S Williams, Thomas E Murphy, Rajarshi Roy, Francesco Sorrentino, Thomas Dahms, Eckehard Schöll
- Physical review letters
- 2013

We experimentally demonstrate group synchrony in a network of four nonlinear optoelectronic oscillators with time-delayed coupling. We divide the nodes into two groups of two each, by giving each group different parameters and by enabling only intergroup coupling. When coupled in this fashion, the two groups display different dynamics, with no isochronal… (More)

We study the nonlinear dynamics of two delay-coupled neural systems each modelled by excitable dynamics of FitzHugh-Nagumo type and demonstrate that bistability between the stable fixed point and limit cycle oscillations occurs for sufficiently large delay times τ and coupling strength C. As the mechanism for these delay-induced oscillations we identify a… (More)

- David P Rosin, Damien Rontani, Daniel J Gauthier, Eckehard Schöll
- Physical review letters
- 2013

We study experimentally the synchronization patterns in time-delayed directed Boolean networks of excitable systems. We observe a transition in the network dynamics when the refractory time of the individual systems is adjusted. When the refractory time is on the same order of magnitude as the mean link time delays or the heterogeneities of the link time… (More)