Abstract:
The phenomenon of chimera state cloning in a two-layer network of bistable time-delayed feedback oscillators has been experimentally studied for the first time in cases of unidirectional and mutual coupling between the network layers. It is established that the cloning of chimera states in the case of mutual coupling is only possible provided a proper choice of the initial conditions for oscillators.
Keywords:
networks of coupled oscillators, chimera states, time-delayed feedback generator, radio physical experiment.
This work was supported in part by a Grant from the President of the Russian Federation (project no. MK-1199.2019.8 for the design of experimental setup) and by the Russian Foundation for Basic Research (project no. 19-02-00071 for the control of collective dynamics).
Citation:
D. D. Kulminskij, V. I. Ponomarenko, M. D. Prokhorov, “Cloning of chimera states in a two-layer network of bistable time-delayed feedback oscillators”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 47:2 (2021), 32–35; Tech. Phys. Lett., 47:1 (2021), 79–82
\Bibitem{KulPonPro21}
\by D.~D.~Kulminskij, V.~I.~Ponomarenko, M.~D.~Prokhorov
\paper Cloning of chimera states in a two-layer network of bistable time-delayed feedback oscillators
\jour Pisma v Zhurnal Tekhnicheskoi Fiziki
\yr 2021
\vol 47
\issue 2
\pages 32--35
\mathnet{http://mi.mathnet.ru/pjtf4884}
\crossref{https://doi.org/10.21883/PJTF.2021.02.50543.18543}
\elib{https://elibrary.ru/item.asp?id=44860845}
\transl
\jour Tech. Phys. Lett.
\yr 2021
\vol 47
\issue 1
\pages 79--82
\crossref{https://doi.org/10.1134/S1063785021010235}
Linking options:
https://www.mathnet.ru/eng/pjtf4884
https://www.mathnet.ru/eng/pjtf/v47/i2/p32
This publication is cited in the following 1 articles:
D. D. Kulminskii, V. I. Ponomarenko, M. D. Prokhorov, “Upravlenie kollektivnoi dinamikoi v mnogosloinykh setyakh bistabilnykh generatorov s zaderzhkoi s pereklyuchaemymi svyazyami”, Izv. Sarat. un-ta. Nov. cer. Ser. Fizika, 22:4 (2022), 310–319