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Bayani A, Nazarimehr F, Jafari S, Kovalenko K, Contreras-Aso G, Alfaro-Bittner K, Sánchez-García RJ, Boccaletti S. The transition to synchronization of networked systems. Nat Commun 2024; 15:4955. [PMID: 38858358 PMCID: PMC11165003 DOI: 10.1038/s41467-024-48203-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/15/2023] [Accepted: 04/23/2024] [Indexed: 06/12/2024] Open
Abstract
We study the synchronization properties of a generic networked dynamical system, and show that, under a suitable approximation, the transition to synchronization can be predicted with the only help of eigenvalues and eigenvectors of the graph Laplacian matrix. The transition comes out to be made of a well defined sequence of events, each of which corresponds to a specific clustered state. The network's nodes involved in each of the clusters can be identified, and the value of the coupling strength at which the events are taking place can be approximately ascertained. Finally, we present large-scale simulations which show the accuracy of the approximation made, and of our predictions in describing the synchronization transition of both synthetic and real-world large size networks, and we even report that the observed sequence of clusters is preserved in heterogeneous networks made of slightly non-identical systems.
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Affiliation(s)
- Atiyeh Bayani
- Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
| | - Fahimeh Nazarimehr
- Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
| | - Sajad Jafari
- Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran.
- Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran.
| | - Kirill Kovalenko
- Scuola Superiore Meridionale, School for Advanced Studies, Naples, Italy
| | | | | | - Rubén J Sánchez-García
- Mathematical Sciences, University of Southampton, Southampton, UK.
- Institute for Life Sciences, University of Southampton, Southampton, UK.
- The Alan Turing Institute, London, UK.
| | - Stefano Boccaletti
- CNR - Institute of Complex Systems, Sesto Fiorentino, Italy
- Sino-Europe Complexity Science Center, School of Mathematics, North University of China, Shanxi, Taiyuan, China
- Research Institute of Interdisciplinary Intelligent Science, Ningbo University of Technology, Zhejiang, Ningbo, China
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Albery GF, Bansal S, Silk MJ. Comparative approaches in social network ecology. Ecol Lett 2024; 27:e14345. [PMID: 38069575 DOI: 10.1111/ele.14345] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/03/2023] [Revised: 10/10/2023] [Accepted: 10/16/2023] [Indexed: 01/31/2024]
Abstract
Social systems vary enormously across the animal kingdom, with important implications for ecological and evolutionary processes such as infectious disease dynamics, anti-predator defence, and the evolution of cooperation. Comparing social network structures between species offers a promising route to help disentangle the ecological and evolutionary processes that shape this diversity. Comparative analyses of networks like these are challenging and have been used relatively little in ecology, but are becoming increasingly feasible as the number of empirical datasets expands. Here, we provide an overview of multispecies comparative social network studies in ecology and evolution. We identify a range of advancements that these studies have made and key challenges that they face, and we use these to guide methodological and empirical suggestions for future research. Overall, we hope to motivate wider publication and analysis of open social network datasets in animal ecology.
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Affiliation(s)
- Gregory F Albery
- Department of Biology, Georgetown University, Washington, District of Columbia, USA
- Leibniz Institute of Freshwater Ecology and Inland Fisheries, Berlin, Germany
| | - Shweta Bansal
- Department of Biology, Georgetown University, Washington, District of Columbia, USA
| | - Matthew J Silk
- CEFE, Univ Montpellier, CNRS, EPHE, IRD, Montpellier, France
- Institute of Ecology and Evolution, School of Biological Sciences, University of Edinburgh, Edinburgh, UK
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