Control of amplitude chimeras by time delay in oscillator networks

Physical Review. E
Aleksandar GjurchinovskiAnna Zakharova

Abstract

We investigate the influence of time-delayed coupling in a ring network of nonlocally coupled Stuart-Landau oscillators upon chimera states, i.e., space-time patterns with coexisting partially coherent and partially incoherent domains. We focus on amplitude chimeras, which exhibit incoherent behavior with respect to the amplitude rather than the phase and are transient patterns, and we show that their lifetime can be significantly enhanced by coupling delay. To characterize their transition to phase-lag synchronization (coherent traveling waves) and other coherent structures, we generalize the Kuramoto order parameter. Contrasting the results for instantaneous coupling with those for constant coupling delay, for time-varying delay, and for distributed-delay coupling, we demonstrate that the lifetime of amplitude chimera states and related partially incoherent states can be controlled, i.e., deliberately reduced or increased, depending upon the type of coupling delay.

References

Oct 4, 2003·Physical Review Letters·Fatihcan M Atay
Nov 5, 2004·Physical Review Letters·Daniel M Abrams, Steven H Strogatz
Sep 4, 2008·Physical Review Letters·Daniel M AbramsDaniel A Wiley
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chol-Ung ChoeEckehard Schöll
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Erik A Martens
Apr 5, 2011·Chaos·M WolfrumY L Maistrenko
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matthias Wolfrum, Oleh E Omel'chenko
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Iryna OmelchenkoEckehard Schöll
Mar 19, 2013·Physical Review Letters·Mark J Panaggio, Daniel M Abrams
Jun 19, 2013·Physical Review Letters·Iryna OmelchenkoEckehard Schöll
Jul 31, 2013·Physical Review Letters·Aneta KoseskaJürgen Kurths
Aug 21, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Y N KyrychkoE Schöll
Aug 21, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·C M PostlethwaiteM Silber
Aug 21, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Isabelle Schneider
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Aleksandar GjurchinovskiEckehard Schöll
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gautam C SethiaGeorge L Johnston
Nov 26, 2013·Physical Review Letters·Adilson E MotterTamás Tél
Mar 4, 2014·Physical Review Letters·Jan SieberMatthias Wolfrum
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Aleksandar GjurchinovskiEckehard Schöll
Apr 29, 2014·Physical Review Letters·Gautam C Sethia, Abhijit Sen
May 3, 2014·Physical Review Letters·Anna ZakharovaEckehard Schöll
Jun 14, 2013·Physical Review Letters·Simbarashe NkomoKenneth Showalter
Mar 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mark J Panaggio, Daniel M Abrams
Sep 4, 2015·Chaos·Iryna OmelchenkoEckehard Schöll
Oct 3, 2015·Chaos·Tamás Tél
Nov 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Partha Sharathi Dutta, Tanmoy Banerjee
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Isabelle SchneiderEckehard Schöll
Feb 13, 2016·Physical Review. E·Sarah A M LoosAnna Zakharova
Apr 2, 2016·Physical Review Letters·Iryna OmelchenkoEckehard Schöll
Aug 4, 2016·Nature Communications·Niels C RattenborgAlexei L Vyssotski
Oct 16, 2016·Physical Review. E·Tanmoy BanerjeeEckehard Schöll
Oct 27, 2016·Chaos·Felix P KemethKatharina Krischer

❮ Previous
Next ❯

Citations

Jul 23, 2019·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Spase Petkoski, Viktor K Jirsa
Jul 23, 2019·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·D NikitinE Schöll
Dec 7, 2018·Chaos·Tanmoy BanerjeeAnna Zakharova
Aug 3, 2018·Chaos·Saptarshi Ghosh, Sarika Jalan
Jun 4, 2019·Chaos·Giulia RuzzeneRalph G Andrzejak
Feb 1, 2020·Journal of Mathematical Biology·Bootan RahmanKonstantin B Blyuss
Jan 3, 2020·Chaos·K SathiyadeviV K Chandrasekar
Dec 18, 2020·Physical Review. E·Giulia RuzzeneRalph G Andrzejak
May 20, 2021·Physical Review. E·Anjuman Ara KhatunNirmal Punetha

❮ 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
Sarah A M LoosAnna Zakharova
Physical Review Letters
Iryna OmelchenkoEckehard Schöll
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Aleksandar GjurchinovskiEckehard Schöll
© 2022 Meta ULC. All rights reserved