Dataset. 2017

Generalized synchronization between chimera states [software]

CORA.Repositori de Dades de Recerca
doi:10.34810/data489
CORA.Repositori de Dades de Recerca
  • Andrzejak, Ralph Gregor
  • Ruzzene, Giulia
  • Malvestio, Irene
This page provides the source code underlying the manuscript: Andrzejak RG, Ruzzene G, Malvestio I. 2017. Generalized synchronization between chimera states. Chaos. 27(5): 053114 If you use any of these resources, please make sure that you cite this reference. For more detailed information, please refer to https://www.upf.edu/web/ntsa/downloads
 
DOI: https://doi.org/10.34810/data489
CORA.Repositori de Dades de Recerca
doi:10.34810/data489

HANDLE: https://doi.org/10.34810/data489
CORA.Repositori de Dades de Recerca
doi:10.34810/data489
 
Ver en: https://doi.org/10.34810/data489
CORA.Repositori de Dades de Recerca
doi:10.34810/data489

Recercat. Dipósit de la Recerca de Catalunya
oai:recercat.cat:2072/316181
Artículo científico (article).

GENERALIZED SYNCHRONIZATION BETWEEN CHIMERA STATES

Recercat. Dipósit de la Recerca de Catalunya
  • Andrzejak, Ralph Gregor
  • Ruzzene, Giulia
  • Malvestio, Irene
Networks of coupled oscillators in chimera states are characterized by an intriguing interplay of synchronous and asynchronous motion. While chimera states were initially discovered in mathematical model systems, there is growing experimental and conceptual evidence that they manifest themselves also in natural and man-made networks. In real-world systems, however, synchronization and desynchronization are not only important within individual networks but also across different interacting networks. It is therefore essential to investigate if chimera states can be synchronized across networks. To address this open problem, we use the classical setting of ring networks of non-locally coupled identical phase oscillators. We apply diffusive drive-response couplings between pairs of such networks that individually show chimera states when there is no coupling between them. The drive and response networks are either identical or they differ by a variable mismatch in their phase lag parameters. In both cases, already for weak couplings, the coherent domain of the response network aligns its position to the one of the driver networks. For identical networks, a sufficiently strong coupling leads to identical synchronization between the drive and response. For non-identical networks, we use the auxiliary system approach to demonstrate that generalized synchronization is established instead. In this case, the response network continues to show a chimera dynamics which however remains distinct from the one of the driver. Hence, segregated synchronized and desynchronized domains in individual networks congregate in generalized synchronization across networks., We acknowledge funding from the Volkswagen foundation, the Spanish Ministry of Economy and Competitiveness, Grant No. FIS2014-54177-R, the CERCA Programme of the Generalitat de Catalunya (R.G.A. and G.R.), and from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 642563 (R.G.A. and I.M.).




Recercat. Dipósit de la Recerca de Catalunya
oai:recercat.cat:2072/332484
Artículo científico (article).

GENERALIZED SYNCHRONIZATION BETWEEN CHIMERA STATES

Recercat. Dipósit de la Recerca de Catalunya
  • Andrzejak, Ralph G.
  • Ruzzene, Giulia
  • Malvestio, Irene
Networks of coupled oscillators in chimera states are characterized by an intriguing interplay of synchronous and asynchronous motion. While chimera states were initially discovered in mathematical model systems, there is growing experimental and conceptual evidence that they manifest themselves also in natural and man-made networks. In real-world systems, however, synchronization and desynchronization are not only important within individual networks but also across different interacting networks. It is therefore essential to investigate if chimera states can be synchronized across networks. To address this open problem, we use the classical setting of ring networks of non-locally coupled identical phase oscillators. We apply diffusive drive-response couplings between pairs of such networks that individually show chimera states when there is no coupling between them. The drive and response networks are either identical or they differ by a variable mismatch in their phase lag parameters. In both cases, already for weak couplings, the coherent domain of the response network aligns its position to the one of the driver networks. For identical networks, a sufficiently strong coupling leads to identical synchronization between the drive and response. For non-identical networks, we use the auxiliary system approach to demonstrate that generalized synchronization is established instead. In this case, the response network continues to show a chimera dynamics which however remains distinct from the one of the driver. Hence, segregated synchronized and desynchronized domains in individual networks congregate in generalized synchronization across networks.




Dipòsit Digital de la UB
oai:diposit.ub.edu:2445/124446
Artículo científico (article). 2017

GENERALIZED SYNCHRONIZATION BETWEEN CHIMERA STATES

Dipòsit Digital de la UB
  • Andrzejak, Ralph G.
  • Ruzzene, Giulia
  • Malvestio, Irene
Networks of coupled oscillators in chimera states are characterized by an intriguing interplay of synchronous and asynchronous motion. While chimera states were initially discovered in mathematical model systems, there is growing experimental and conceptual evidence that they manifest themselves also in natural and man-made networks. In real-world systems, however, synchronization and desynchronization are not only important within individual networks but also across different interacting networks. It is therefore essential to investigate if chimera states can be synchronized across networks. To address this open problem, we use the classical setting of ring networks of non-locally coupled identical phase oscillators. We apply diffusive drive-response couplings between pairs of such networks that individually show chimera states when there is no coupling between them. The drive and response networks are either identical or they differ by a variable mismatch in their phase lag parameters. In both cases, already for weak couplings, the coherent domain of the response network aligns its position to the one of the driver networks. For identical networks, a sufficiently strong coupling leads to identical synchronization between the drive and response. For non-identical networks, we use the auxiliary system approach to demonstrate that generalized synchronization is established instead. In this case, the response network continues to show a chimera dynamics which however remains distinct from the one of the driver. Hence, segregated synchronized and desynchronized domains in individual networks congregate in generalized synchronization across networks.

Proyecto: EC/H2020/642563



CORA.Repositori de Dades de Recerca
doi:10.34810/data489
Dataset. 2017

GENERALIZED SYNCHRONIZATION BETWEEN CHIMERA STATES [SOFTWARE]

CORA.Repositori de Dades de Recerca
  • Andrzejak, Ralph Gregor
  • Ruzzene, Giulia
  • Malvestio, Irene
This page provides the source code underlying the manuscript: Andrzejak RG, Ruzzene G, Malvestio I. 2017. Generalized synchronization between chimera states. Chaos. 27(5): 053114 If you use any of these resources, please make sure that you cite this reference. For more detailed information, please refer to https://www.upf.edu/web/ntsa/downloads