Two order parameters for the Kuramoto model on complex networks

Physical Review. E
Soon-Hyung Yook, Yup Kim

Abstract

We investigate the behavior of two different order parameters for the Kuramoto model in the desynchronized phase. Since the primary role of the order parameter is to distinguish different phases, we focus on the ability to discern the desynchronized phase from the synchronized one on complex networks with the size N. From the exact derivation of the difference between two order parameters, Δ, on a star network, we find that these order parameters disagree in the desynchronized phase. We also show that the hub plays an important role and provide an analytic conjecture on the condition that the two order parameters agree with each other as N→∞. The conjecture is numerically confirmed.

References

Jan 22, 2002·Physical Review Letters·K I GohD Kim
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Takashi Ichinomiya
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H HongM Y Choi
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Juan G RestrepoBrian R Hunt
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Deok-Sun Lee
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H HongM Y Choi
Jul 21, 2006·Nature·José M MontoyaRicard V Solé
Mar 16, 2007·Physical Review Letters·Jesús Gómez-GardeñesAlex Arenas
Nov 13, 2007·Physical Review Letters·Hyunsuk HongLei-Han Tang
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D P Foster, C Pinettes
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S DavatolhaghL Separdar
Apr 27, 2011·Physical Review Letters·Jesús Gómez-GardeñesYamir Moreno
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas Kauê Dal'maso Peron, Francisco A Rodrigues
May 3, 2014·Scientific Reports·Peng JiJürgen Kurths

❮ Previous
Next ❯

Citations

Nov 28, 2019·Physical Review. E·Thomas PeronYamir Moreno

❮ 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. E, Statistical, Nonlinear, and Soft Matter Physics
A BergnerJürgen Kurths
International Journal of Injury Control and Safety Promotion
Shrikant I Bangdiwala
Human Pathology
Virginia A LiVolsi
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Yup KimSoon-Hyung Yook
© 2022 Meta ULC. All rights reserved