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Synchronization transitions caused by time-varying coupling functions

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Synchronization transitions caused by time-varying coupling functions. / Hagos, Zeray; Stankovski, Tomislav; Newman, Julian et al.
In: Philosophical Transactions of the Royal Society of London A, Vol. 377, No. 2160, 20190275, 16.12.2019.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Hagos, Z, Stankovski, T, Newman, J, Pereira, T, McClintock, PVE & Stefanovska, A 2019, 'Synchronization transitions caused by time-varying coupling functions', Philosophical Transactions of the Royal Society of London A, vol. 377, no. 2160, 20190275. https://doi.org/10.1098/rsta.2019.0275

APA

Hagos, Z., Stankovski, T., Newman, J., Pereira, T., McClintock, P. V. E., & Stefanovska, A. (2019). Synchronization transitions caused by time-varying coupling functions. Philosophical Transactions of the Royal Society of London A, 377(2160), Article 20190275. https://doi.org/10.1098/rsta.2019.0275

Vancouver

Hagos Z, Stankovski T, Newman J, Pereira T, McClintock PVE, Stefanovska A. Synchronization transitions caused by time-varying coupling functions. Philosophical Transactions of the Royal Society of London A. 2019 Dec 16;377(2160):20190275. Epub 2019 Oct 28. doi: 10.1098/rsta.2019.0275

Author

Hagos, Zeray ; Stankovski, Tomislav ; Newman, Julian et al. / Synchronization transitions caused by time-varying coupling functions. In: Philosophical Transactions of the Royal Society of London A. 2019 ; Vol. 377, No. 2160.

Bibtex

@article{2706ceaf20494fb7bde1a2fb8f371b11,
title = "Synchronization transitions caused by time-varying coupling functions",
abstract = "Interacting dynamical systems are widespread in nature. The influence that one such system exerts on another is described by a coupling function; and the coupling functions extracted from the time-series of interacting dynamical systems are often found to be time-varying. Although much effort has been devoted to the analysis of coupling functions, the influence of time-variability on the associated dynamics remains largely unexplored. Motivated especially by coupling functions in biology, including the cardiorespiratory and neural delta-alpha coupling functions, this paper offers a contribution to the understanding of effects due to time-varying interactions. Through both numerics and mathematically rigorous theoretical consideration, we show that for time-variable coupling functions with time-independent net coupling strength, transitions into and out of phase- synchronization can occur, even though the frozen coupling functions determine phase-synchronization solely by virtue of their net coupling strength. Thus the information about interactions provided by the shape of coupling functions plays a greater role in determining behaviour when these coupling functions are time-variable.",
keywords = "coupling functions, coupled oscillators, interactions, dynamical systems",
author = "Zeray Hagos and Tomislav Stankovski and Julian Newman and Tiago Pereira and McClintock, {Peter V. E.} and Aneta Stefanovska",
year = "2019",
month = dec,
day = "16",
doi = "10.1098/rsta.2019.0275",
language = "English",
volume = "377",
journal = "Philosophical Transactions of the Royal Society of London A",
issn = "0264-3820",
number = "2160",

}

RIS

TY - JOUR

T1 - Synchronization transitions caused by time-varying coupling functions

AU - Hagos, Zeray

AU - Stankovski, Tomislav

AU - Newman, Julian

AU - Pereira, Tiago

AU - McClintock, Peter V. E.

AU - Stefanovska, Aneta

PY - 2019/12/16

Y1 - 2019/12/16

N2 - Interacting dynamical systems are widespread in nature. The influence that one such system exerts on another is described by a coupling function; and the coupling functions extracted from the time-series of interacting dynamical systems are often found to be time-varying. Although much effort has been devoted to the analysis of coupling functions, the influence of time-variability on the associated dynamics remains largely unexplored. Motivated especially by coupling functions in biology, including the cardiorespiratory and neural delta-alpha coupling functions, this paper offers a contribution to the understanding of effects due to time-varying interactions. Through both numerics and mathematically rigorous theoretical consideration, we show that for time-variable coupling functions with time-independent net coupling strength, transitions into and out of phase- synchronization can occur, even though the frozen coupling functions determine phase-synchronization solely by virtue of their net coupling strength. Thus the information about interactions provided by the shape of coupling functions plays a greater role in determining behaviour when these coupling functions are time-variable.

AB - Interacting dynamical systems are widespread in nature. The influence that one such system exerts on another is described by a coupling function; and the coupling functions extracted from the time-series of interacting dynamical systems are often found to be time-varying. Although much effort has been devoted to the analysis of coupling functions, the influence of time-variability on the associated dynamics remains largely unexplored. Motivated especially by coupling functions in biology, including the cardiorespiratory and neural delta-alpha coupling functions, this paper offers a contribution to the understanding of effects due to time-varying interactions. Through both numerics and mathematically rigorous theoretical consideration, we show that for time-variable coupling functions with time-independent net coupling strength, transitions into and out of phase- synchronization can occur, even though the frozen coupling functions determine phase-synchronization solely by virtue of their net coupling strength. Thus the information about interactions provided by the shape of coupling functions plays a greater role in determining behaviour when these coupling functions are time-variable.

KW - coupling functions

KW - coupled oscillators

KW - interactions

KW - dynamical systems

U2 - 10.1098/rsta.2019.0275

DO - 10.1098/rsta.2019.0275

M3 - Journal article

C2 - 31656137

VL - 377

JO - Philosophical Transactions of the Royal Society of London A

JF - Philosophical Transactions of the Royal Society of London A

SN - 0264-3820

IS - 2160

M1 - 20190275

ER -