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000014629 084__ $$2WoS$$aPhysics, Fluids & Plasmas
000014629 084__ $$2WoS$$aPhysics, Mathematical
000014629 1001_ $$0P:(DE-HGF)0$$aPerlikowski, P.$$b0
000014629 245__ $$aPeriodic patterns in a ring of delay-coupled oscillators.
000014629 260__ $$aCollege Park, Md.$$bAPS$$c2010
000014629 264_1 $$2Crossref$$3online$$bAmerican Physical Society (APS)$$c2010-09-20
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000014629 440_0 $$04924$$aPhysical Review E$$v82$$x1539-3755$$y3
000014629 500__ $$aP.P. and S.Y. acknowledge the support of DFG Research Center Matheon "Mathematics for key technologies" under Project No. D21. P.P. acknowledges the support of Department of International Cooperation of Poland under Project No. DWM/N97/DAAD/2008 and from Foundation for Polish Science (the START Foundation)
000014629 520__ $$aWe describe the appearance and stability of spatiotemporal periodic patterns (rotating waves) in unidirectional rings of coupled oscillators with delayed couplings. We show how delays in the coupling lead to the splitting of each rotating wave into several new ones. The appearance of rotating waves is mediated by the Hopf bifurcations of the symmetric equilibrium. We also conclude that the coupling delays can be effectively replaced by increasing the number of oscillators in the chain. The phenomena are shown for the Stuart-Landau oscillators as well as for the coupled FitzHugh-Nagumo systems modeling an ensemble of spiking neurons interacting via excitatory chemical synapses.
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000014629 7001_ $$0P:(DE-HGF)0$$aYanchuk, S.$$b1
000014629 7001_ $$0P:(DE-Juel1)VDB45718$$aPopovych, O. V.$$b2$$uFZJ
000014629 7001_ $$0P:(DE-Juel1)131884$$aTass, P.A.$$b3$$uFZJ
000014629 77318 $$2Crossref$$3journal-article$$a10.1103/physreve.82.036208$$bAmerican Physical Society (APS)$$d2010-09-20$$n3$$p036208$$tPhysical Review E$$v82$$x1539-3755$$y2010
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000014629 8567_ $$uhttp://dx.doi.org/10.1103/PhysRevE.82.036208
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