| Title: | Collective dynamics of heterogeneously and nonlinearly coupled phase oscillators |
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| Authors: | ID Xu, Can (Author)
ID Tang, Xiaohuan (Author)
ID Lü, Huaping (Author)
ID Alfaro-Bittner, Karin (Author)
ID Boccaletti, Stefano (Author)
ID Perc, Matjaž (Author)
ID Guan, Shuguang (Author) |
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| Files: |  Xu-2021-Collective_dynamics_of_heterogeneously.pdf (632,90 KB)
MD5: E634068A17DBE31FFC179C882CDF339F
 https://doi.org/10.1103/PhysRevResearch.3.043004
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | 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. |
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| Keywords: | coupled oscillators, synchronization, Kuramoto model, collective dynamics, phase transition |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 07.05.2021 |
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| Article acceptance date: | 13.09.2021 |
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| Publication date: | 01.10.2021 |
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| Publisher: | American Phyisical Society |
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| Year of publishing: | 2021 |
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| Number of pages: | Str. 1-12 |
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| Numbering: | Letn. 3, št. 4, št. članka 043004 |
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| PID: | 20.500.12556/DKUM-91101  |
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| UDC: | 53 |
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| ISSN on article: | 2643-1564 |
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| COBISS.SI-ID: | 82215683 |
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| DOI: | 10.1103/PhysRevResearch.3.043004 |
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| Publication date in DKUM: | 22.10.2024 |
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| Views: | 194 |
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| Downloads: | 16 |
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| Metadata: |    |
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| Categories: | Misc.
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