Swarmalators under competitive time-varying phase interactions
Swarmalators are entities with the simultaneous presence of swarming and synchronization that reveal emergent collective behavior due to the fascinating bidirectional interplay between phase and spatial dynamics. Although different coupling topologies have already been considered, here we introduce...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac5da2 |
| _version_ | 1827871148525748224 |
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| author | Gourab K Sar Sayantan Nag Chowdhury Matjaž Perc Dibakar Ghosh |
| author_facet | Gourab K Sar Sayantan Nag Chowdhury Matjaž Perc Dibakar Ghosh |
| author_sort | Gourab K Sar |
| collection | DOAJ |
| description | Swarmalators are entities with the simultaneous presence of swarming and synchronization that reveal emergent collective behavior due to the fascinating bidirectional interplay between phase and spatial dynamics. Although different coupling topologies have already been considered, here we introduce time-varying competitive phase interaction among swarmalators where the underlying connectivity for attractive and repulsive coupling varies depending on the vision (sensing) radius. Apart from investigating some fundamental properties like conservation of center of position and collision avoidance, we also scrutinize the cases of extreme limits of vision radius. The concurrence of attractive–repulsive competitive phase coupling allows the exploration of diverse asymptotic states, like static π , and mixed phase wave states, and we explore the feasible routes of those states through a detailed numerical analysis. In sole presence of attractive local coupling, we reveal the occurrence of static cluster synchronization where the number of clusters depends crucially on the initial distribution of positions and phases of each swarmalator. In addition, we analytically calculate the sufficient condition for the emergence of the static synchronization state. We further report the appearance of the static ring phase wave state and evaluate its radius theoretically. Finally, we validate our findings using Stuart–Landau oscillators to describe the phase dynamics of swarmalators subject to attractive local coupling. |
| first_indexed | 2024-03-12T16:05:47Z |
| format | Article |
| id | doaj.art-a063938f6fe64610b6bf9f289eacd3bd |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:05:47Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-a063938f6fe64610b6bf9f289eacd3bd2023-08-09T14:22:41ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124404300410.1088/1367-2630/ac5da2Swarmalators under competitive time-varying phase interactionsGourab K Sar0https://orcid.org/0000-0001-5723-4834Sayantan Nag Chowdhury1https://orcid.org/0000-0002-0326-826XMatjaž Perc2https://orcid.org/0000-0002-3087-541XDibakar Ghosh3https://orcid.org/0000-0003-4832-5210Physics and Applied Mathematics Unit, Indian Statistical Institute , 203 B. T. Road, Kolkata-700108, IndiaPhysics and Applied Mathematics Unit, Indian Statistical Institute , 203 B. T. Road, Kolkata-700108, IndiaFaculty of Natural Sciences and Mathematics, University of Maribor , Koroška cesta 160, 2000 Maribor, Slovenia; Department of Medical Research, China Medical University Hospital , China Medical University, Taichung, Taiwan; Complexity Science Hub Vienna , Josefstädterstraße 39, 1080 Vienna, Austria; Alma Mater Europaea , Slovenska ulica 17, 2000 Maribor, SloveniaPhysics and Applied Mathematics Unit, Indian Statistical Institute , 203 B. T. Road, Kolkata-700108, IndiaSwarmalators are entities with the simultaneous presence of swarming and synchronization that reveal emergent collective behavior due to the fascinating bidirectional interplay between phase and spatial dynamics. Although different coupling topologies have already been considered, here we introduce time-varying competitive phase interaction among swarmalators where the underlying connectivity for attractive and repulsive coupling varies depending on the vision (sensing) radius. Apart from investigating some fundamental properties like conservation of center of position and collision avoidance, we also scrutinize the cases of extreme limits of vision radius. The concurrence of attractive–repulsive competitive phase coupling allows the exploration of diverse asymptotic states, like static π , and mixed phase wave states, and we explore the feasible routes of those states through a detailed numerical analysis. In sole presence of attractive local coupling, we reveal the occurrence of static cluster synchronization where the number of clusters depends crucially on the initial distribution of positions and phases of each swarmalator. In addition, we analytically calculate the sufficient condition for the emergence of the static synchronization state. We further report the appearance of the static ring phase wave state and evaluate its radius theoretically. Finally, we validate our findings using Stuart–Landau oscillators to describe the phase dynamics of swarmalators subject to attractive local coupling.https://doi.org/10.1088/1367-2630/ac5da2swarmalatorstime-varying couplingssynchronizationcompetitive phase coupling |
| spellingShingle | Gourab K Sar Sayantan Nag Chowdhury Matjaž Perc Dibakar Ghosh Swarmalators under competitive time-varying phase interactions New Journal of Physics swarmalators time-varying couplings synchronization competitive phase coupling |
| title | Swarmalators under competitive time-varying phase interactions |
| title_full | Swarmalators under competitive time-varying phase interactions |
| title_fullStr | Swarmalators under competitive time-varying phase interactions |
| title_full_unstemmed | Swarmalators under competitive time-varying phase interactions |
| title_short | Swarmalators under competitive time-varying phase interactions |
| title_sort | swarmalators under competitive time varying phase interactions |
| topic | swarmalators time-varying couplings synchronization competitive phase coupling |
| url | https://doi.org/10.1088/1367-2630/ac5da2 |
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