20.500.12556/DKUM-91101 Collective dynamics of heterogeneously and nonlinearly coupled phase oscillators Coupled oscillators have been used to study synchronization in a wide range of social, biological, and physical systems, including pedestrian-induced bridge resonances, coordinated lighting up of firefly swarms, and enhanced output peak intensity in synchronizing laser arrays. Here we advance this subject by studying a variant of the Kuramoto model, where the coupling between the phase oscillators is heterogeneous and nonlinear. In particular, the quenched disorder in the coupling strength and the intrinsic frequencies are correlated, and the coupling itself depends on the amplitude of the mean field of the system. We show that the interplay of these factors leads to a fascinatingly rich collective dynamics, including explosive synchronization transitions, hybrid transitions with hysteresis absence, abrupt irreversible desynchronization transitions, and tiered phase transitions with or without a vanishing onset. We develop an analytical treatment that enables us to determine the observed equilibrium states of the system, as well as to explore their asymptotic stability at various levels. Our research thus provides theoretical foundations for a number of self-organized phenomena that may be responsible for the emergence of collective rhythms in complex systems. coupled oscillators synchronization Kuramoto model collective dynamics phase transition sklopljeni oscilatorji sinhronizacija Kuramoto model kolektivna dinamika fazni prehod true false true American Phyisical Society Angleški jezik Slovenski jezik Znanstveno delo 2024-10-22 10:06:23 2024-10-22 10:14:23 2024-10-23 03:29:56 0000-00-00 00:00:00 2021 0 0 Str. 1-12 št. 4, št. članka 043004 Letn. 3 2021 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2021-05-07 2021-09-13 2021-10-01 53 82215683 10.1103/PhysRevResearch.3.043004 2643-1564 Xu-2021-Collective_dynamics_of_heterogeneously.pdf Xu-2021-Collective_dynamics_of_heterogeneously.pdf 1 E634068A17DBE31FFC179C882CDF339F eb7380fdf5de5c93fdf063d10a006ed961722ac4f83a2c61d68059965009ffee 8dfbf6cb-904d-11ef-9244-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=186737 https://doi.org/10.1103/PhysRevResearch.3.043004 0 932b5e79-904d-11ef-9244-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=186738 Fakulteta za naravoslovje in matematiko 0 0 0