Effective centrality and explosive synchronization in complex networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A NavasS Boccaletti

Abstract

Synchronization of networked oscillators is known to depend fundamentally on the interplay between the dynamics of the graph's units and the microscopic arrangement of the network's structure. We here propose an effective network whose topological properties reflect the interplay between the topology and dynamics of the original network. On that basis, we are able to introduce the effective centrality, a measure that quantifies the role and importance of each network's node in the synchronization process. In particular, in the context of explosive synchronization, we use such a measure to assess the propensity of a graph to sustain an irreversible transition to synchronization. We furthermore discuss a strategy to induce the explosive behavior in a generic network, by acting only upon a fraction of its nodes.

References

Oct 16, 1999·Science·A L Barabasi, R Albert
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Diego Pazó
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E OhB Kahng
Apr 8, 2006·Chaos·Changsong Zhou, Jürgen Kurths
Apr 12, 2006·Physical Review Letters·Alex ArenasConrad J Pérez-Vicente
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jesús Gómez-Gardeñes, Yamir Moreno
Aug 4, 2009·Physical Biology·Einat FuchsStefano Boccaletti
Apr 27, 2011·Physical Review Letters·Jesús Gómez-GardeñesYamir Moreno
Jun 12, 2012·Physical Review Letters·I LeyvaS Boccaletti
Jan 16, 2013·Proceedings of the National Academy of Sciences of the United States of America·Florian DörflerFrancesco Bullo
Feb 16, 2013·Scientific Reports·I LeyvaS Boccaletti
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ping LiMichael Small
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiyun ZhangZonghua Liu
Oct 5, 2013·Chaos·Hanshuang ChenZhonghuai Hou
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I LeyvaS Boccaletti
Jun 10, 2014·Nature Communications·Peter J MenckHans Joachim Schellnhuber
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Per Sebastian Skardal, Alex Arenas
Aug 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhiwei HeMeng Zhan
Oct 18, 2014·Physical Review Letters·Per Sebastian SkardalJie Sun
Feb 7, 2015·Physical Review Letters·Xiyun ZhangZonghua Liu

❮ Previous
Next ❯

Citations

Feb 20, 2019·Physical Review. E·A TlaieI Sendiña-Nadal
May 16, 2018·Physical Review. E·Vanesa Avalos-GaytánS Boccaletti

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review Letters
Alex ArenasConrad J Pérez-Vicente
Scandinavian Journal of Psychology
J Nieminen
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S BoccalettiA Rapisarda
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Raffaele AutarielloFrancesco Sorrentino
© 2022 Meta ULC. All rights reserved