Rights statement: Gold OA purchased from Royal Society
Final published version, 861 KB, PDF document
Available under license: CC BY: Creative Commons Attribution 4.0 International License
Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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/Magazine › Journal article › peer-review
}
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 -