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http://hdl.handle.net/20.500.12188/7166
Наслов: | Synchronization transitions caused by time-varying coupling functions | Authors: | Hagos, Zeray Stankovski Tomislav Newman, Julian Pereira, Tiago McClintock, Peter V E Stefanovska, Aneta |
Issue Date: | 16-дек-2019 | Publisher: | The Royal Society | Journal: | Philosophical transactions. Series A, Mathematical, physical, and engineering sciences | 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. This article is part of the theme issue 'Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences'. | URI: | http://hdl.handle.net/20.500.12188/7166 | DOI: | 10.1098/rsta.2019.0275 |
Appears in Collections: | Faculty of Medicine: Journal Articles |
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