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Title: | Control of amplitude chimeras by time delay in dynamical networks | Authors: | Schöll, Eckehard Zakharova, Anna GJurchinovski, Aleksandar |
Keywords: | Nonlinear Sciences - Adaptation and Self-Organizing Systems networks |
Issue Date: | 2017 | Publisher: | The European Nonlinear Dynamics Conference (ENOC), Congressline Ltd., Budapest | Source: | Paper ID: 373, in Proceedings of 9th European Nonlinear Dynamics Conference (ENOC2017, Budapest), edited by Gábor Stépán and Gábor Csernák (2017) | Project: | This work was supported by DFG in the framework of SFB 910 | Journal: | Proceedings of 9th European Nonlinear Dynamics Conference (ENOC2017, Budapest), edited by Gábor Stépán and Gábor Csernák (2017) | Series/Report no.: | ;Paper ID: 373 | Conference: | 9th European Nonlinear Dynamics Conference (ENOC2017, Budapest) | Abstract: | We investigate the influence of time-delayed coupling in a ring network of non-locally coupled Stuart-Landau oscillators upon chimera states, i.e., space-time patterns with coexisting partially coherent and partially incoherent domains. We focus on amplitude chimeras which exhibit incoherent behavior with respect to the amplitude rather than the phase and are transient patterns, and show that their lifetime can be significantly enhanced by coupling delay. To characterize their transition to phase-lag synchronization (coherent traveling waves) and other coherent structures, we generalize the Kuramoto order parameter. Contrasting the results for instantaneous coupling with those for constant and for time-varying coupling delays, we demonstrate that the lifetime of amplitude chimera states and related partially incoherent states can be controlled, i.e., deliberately reduced or increased, depending upon the type of coupling delay. | URI: | http://hdl.handle.net/20.500.12188/10913 | ISBN: | 978-963-12-9168-1 |
Appears in Collections: | Faculty of Natural Sciences and Mathematics: Conference papers |
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