Universal relations of local order parameters for partially synchronized oscillators

Physical Review. E
Oleh E Omel'chenkoIstván Z Kiss

Abstract

Interactions among discrete oscillatory units (e.g., cells) can result in partially synchronized states when some of the units exhibit phase locking and others phase slipping. Such states are typically characterized by a global order parameter that expresses the extent of synchrony in the system. Here we show that such states carry data-rich information of the system behavior, and a local order parameter analysis reveals universal relations through a semicircle representation. The universal relations are derived from thermodynamic limit analysis of a globally coupled Kuramoto-type phase oscillator model. The relations are confirmed with the partially synchronized states in numerical simulations with a model of circadian cells and in laboratory experiments with chemical oscillators. The application of the theory allows direct approximation of coupling strength, the natural frequency of oscillations, and the phase lag parameter without extensive nonlinear fits as well as a self-consistency check for presence of network interactions and higher harmonic components in the phase model.

References

Jan 15, 1996·Physical Review Letters·K WiesenfeldS H Strogatz
Jun 1, 2002·Science·Istvan Z KissJohn L Hudson
May 31, 2003·Proceedings of the National Academy of Sciences of the United States of America·Jean-Christophe Leloup, Albert Goldbeter
Nov 25, 2003·Science·Shun YamaguchiHitoshi Okamura
Jul 17, 2004·Proceedings of the National Academy of Sciences of the United States of America·Jordi Garcia-OjalvoSteven H Strogatz
Nov 5, 2004·Physical Review Letters·Daniel M Abrams, Steven H Strogatz
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ernest MontbrióBernd Blasius
Oct 13, 2007·Physical Review Letters·Isao T TokudaJohn L Hudson
Nov 16, 2007·Proceedings of the National Academy of Sciences of the United States of America·Silvia De MontePreben Graae Sørensen
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Björn KralemannRalf Mrowka
Dec 3, 2008·Chaos·Edward Ott, Thomas M Antonsen
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E A MartensT M Antonsen
Jul 2, 2009·Chaos·Edward Ott, Thomas M Antonsen
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Amirkhan A TemirbayevMichael Rosenblum
Sep 18, 2012·PloS One·André WeberMarcus J B Hauser
Dec 12, 2012·Physical Review Letters·Oleh E Omel'chenko, Matthias Wolfrum
Sep 3, 2013·Nature Communications·Björn KralemannMaximilian Moser
Dec 3, 2013·Physical Review Letters·Maxim Komarov, Arkady Pikovsky
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mahesh Wickramasinghe, István Z Kiss
Jun 21, 2014·Nature Communications·D IatsenkoA Stefanovska
Oct 18, 2014·Physical Review Letters·Per Sebastian SkardalJie Sun
Feb 25, 2015·Methods in Enzymology·Erik D HerzogCristina Mazuski
May 23, 2015·Scientific Reports·Maximilian Sadilek, Stefan Thurner
Oct 3, 2015·Chaos·Arkady Pikovsky, Michael Rosenblum
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L Q EnglishDavid Mertens
Mar 19, 2016·Nature Communications·Anatoly ZlotnikJr-Shin Li
Jan 20, 2018·Physical Review. E·Rafael GallegoDiego Pazó

❮ Previous
Next ❯

Citations


❮ 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
Maxim Komarov, Arkady Pikovsky
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
M Y ChoiH Hong
Physical Review Letters
Oleh E Omel'chenko, Matthias Wolfrum
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Jan F TotzKenneth Showalter
© 2022 Meta ULC. All rights reserved