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dc.contributor.authorBrunner, Daniel-
dc.contributor.authorPenkovsky, Bogdan-
dc.contributor.authorLevchenko, Roman-
dc.contributor.authorSchöll, Eckehard-
dc.contributor.authorLarger, Laurent-
dc.contributor.authorMaistrenko, Yuri-
dc.descriptionThis article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 28, 103106 (2018) and may be found at
dc.description.abstractWe demonstrate for a photonic nonlinear system that two highly asymmetric feedback delays can induce a variety of emergent patterns which are highly robust during the system’s global evolution. Explicitly, two-dimensional chimeras and dissipative solitons become visible upon a space-time transformation. Switching between chimeras and dissipative solitons requires only adjusting two system parameters, demonstrating self-organization exclusively based on the system’s dynamical properties. Experiments were performed using a tunable semiconductor laser’s transmission through a Fabry-Pérot resonator resulting in an Airy function as nonlinearity. Resulting dynamics were bandpass filtered and propagated along two feedback paths whose time delays differ by two orders of magnitude. An excellent agreement between experimental results and the theoretical model given by modified Ikeda equations was achieved. Photonic delay systems are of astonishing diversity and have created a rich field of fundamental research and a wide range of applications. Under a transformation from time into pseudo-scape, their basic architecture makes them equivalent to ring networks with perfectly-symmetric coupling. For the first time we extend this spatiotemporal analogy in experiments by adding a second delay, 100 times the length of the first delay line. Nonlinearity is provided by a tunable semiconductor laser traversing a Fabry-Pérot resonator. Visualized in 2D-space, we show the temporal evolution of different chimeras and dissipative solitons. Experimental results excellently agree with numerical simulations of the double-delay bandpass Ikeda equation. Based on the attractors of multiple fixed-point solutions, we provide insight into the mechanism structuring the system’s dynamics.en
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.subject.ddc530 Physikde
dc.subject.otherdissipative solitonen
dc.subject.othernumerical simulationen
dc.subject.otherdelay systemsen
dc.titleTwo-dimensional spatiotemporal complexity in dual-delayed nonlinear feedback systems: Chimeras and dissipative solitonsen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
dcterms.bibliographicCitation.journaltitleChaos: An Interdisciplinary Journal of Nonlinear Scienceen
dcterms.bibliographicCitation.originalpublisherplaceMelville, NYen
dcterms.bibliographicCitation.originalpublishernameAmerican Institute of Physics (AIP)en
Appears in Collections:FG Nichtlineare Dynamik und Kontrolle » Publications

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