The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes
Open accessAbstract
Collective behavior in large ensembles of dynamical units with nonpairwise interactions may play an important role in several systems ranging from brain function to social networks. Despite recent work pointing to simplicial structure, i.e., higher-order interactions between three or more units at a time, their dynamical characteristics remain poorly understood. Here we present an analysis of the collective dynamics of such a simplicial system, namely coupled phase oscillators with three-way interactions. The simplicial structure gives rise to a number of novel phenomena, most notably a continuum of abrupt desynchronization transitions with no abrupt synchronization transition counterpart, as well as extensive multistability whereby infinitely many stable partially synchronized states exist. Our analysis sheds light on the complexity that can arise in physical systems with simplicial interactions like the human brain and the role that simplicial interactions play in storing information.
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Cites
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Low dimensional behavior of large systems of globally coupled oscillators
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Mathematical formulation of multilayer networks
De Domenico, M., Solé-Ribalta, A., Cozzo, E., Kivelä, M., Moreno, Y., Porter, M. A., Gómez, S., & Arenas, A. (2016) · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · Cited by 939
Self-citationMathematical Formulation of Multilayer Networks
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Cited by
The physics of higher-order interactions in complex systems
Battiston, F., Amico, E., Barrat, A., Bianconi, G., Ferraz de Arruda, G., Franceschiello, B., Iacopini, I., Kéfi, S., Latora, V., Moreno, Y., et al. (2021) · Nature Physics · doi:10.1038/s41567-021-01371-4 · Cited by 932
Dynamics on higher-order networks: a review
Majhi, S., Perc, M., & Ghosh, D. (2022) · Journal of The Royal Society Interface · doi:10.1098/rsif.2022.0043 · Cited by 561
What are higher-order networks?
Bick, C., Gross, E., Harrington, H. A., & Schaub, M. T. (2023) · SIAM Review · doi:10.1137/21m1414024 · Cited by 420
Bianconi, G. (2021) · doi:10.1017/9781108770996 · Cited by 223
Metadata
- Authors
- Skardal, P. S., & Arenas, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2019-06-19
- Volume
- 122
- Issue
- 24
- Pages
- 248301-248301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2949437808
- Cited by
- 304
- References
- 35
- FWCI
- 17.07
- Type
- journal article
- Language
- en
- Open access
- green
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- Skardal, P. S., & Arenas, A. (2019). Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes. Physical Review Letters. https://doi.org/10.1103/physrevlett.122.248301
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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