20.500.12556/DKUM-88636 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 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. swarmalators time-varying couplings synchronization competitive phase coupling tvorjenje jat časovno-spreminjajoča sklopitev sinhronizacija tekmovalna fazna sklopitev true false true Institute of Physics Publishing, Deutsche Physikalische Gesellschaft Angleški jezik Slovenski jezik Znanstveno delo 2024-05-17 03:19:27 2024-07-16 08:40:50 2024-07-17 04:03:47 0000-00-00 00:00:00 2022 0 0 Str. 1-21 Št. 4, št. članka 043004 Letn. 24 Apr. 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2022-01-05 2022-03-14 2022-04-05 53 103879939 10.1088/1367-2630/ac5da2 1367-2630 Sar-2022-Swarmalators_under_competitive_time-v.pdf Sar-2022-Swarmalators_under_competitive_time-v.pdf 1 2BF7FEB1032E0F5746765F83D216F67C c8ce647eddf9f09786653254c5da9e147232e2456e8272774d6d77f7662f298e ec02fe5c-433d-11ef-8857-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=181513 https://doi.org/10.1088/1367-2630/ac5da2 0 271b3fa0-433e-11ef-8857-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=181514 Fakulteta za naravoslovje in matematiko 0 0 0