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http://hdl.handle.net/20.500.12188/10914| Title: | Amplitude death and chimera patterns in complex networks with time delays | Authors: | GJurchinovski, Aleksandar Schöll, Eckehard Zakharova, Anna |
Keywords: | Nonlinear Sciences - Adaptation and Self-Organizing Systems networks |
Issue Date: | 2017 | Publisher: | Russian Academy of Sciences, Institute of Applied Physics, Nizhny Novgorod | Source: | Proceedings of International Conference "Nonlinear Dynamics and Complexity", in the framework of the International Symposium "Topical Problems of Nonlinear Wave Physics," (NWP2017, Moscow – St. Petersburg, Russia, 2017) | Project: | This work was supported by DFG in the framework of SFB 910 | Conference: | International Conference "Nonlinear Dynamics and Complexity", in the framework of the International Symposium "Topical Problems of Nonlinear Wave Physics," (NWP2017, Moscow – St. Petersburg, Russia, 2017) | Abstract: | We study the conditions of amplitude death in a network of delay-coupled limit cycle oscillators with time-varying delay coupling. By generalizing the master stability function formalism, we analyze the amplitude death regimes in a ring and a multiplex network of Stuart-Landau oscillators. We further investigate the influence of time delay (constant, time-varying, or distributed) on the dynamical regimes and the lifetime of amplitude chimera states in the case when coupling breaks the rotational S1 symmetry. We demonstrate that the lifetime of amplitude chimeras and related incoherent states can be deliberately reduced or increased, depending upon the type of coupling delay. | URI: | http://hdl.handle.net/20.500.12188/10914 |
| Appears in Collections: | Faculty of Natural Sciences and Mathematics: Conference papers |
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