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Coupling functions: universal insights into dynamical interaction mechanisms

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Coupling functions : universal insights into dynamical interaction mechanisms. / Stankovski, Tomislav; Pereira, Tiago; McClintock, Peter Vaughan Elsmere; Stefanovska, Aneta.

In: Reviews of Modern Physics, Vol. 89, No. 4, 045001, 06.11.2017.

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@article{e728532f5ce94845a239124770b75bd9,
title = "Coupling functions: universal insights into dynamical interaction mechanisms",
abstract = "The dynamical systems found in Nature are rarely isolated. Instead they interact and influence each other. The coupling functions that connect them contain detailed information about the functional mechanisms underlying the interactions and prescribe the physical rule specifying how an interaction occurs. Here, we aim to present a coherent and comprehensive review encompassing the rapid progress made recently in the analysis, understanding and applications of coupling functions. The basic concepts and characteristics of coupling functions are presented through demonstrative examples of different domains, revealing the mechanisms and emphasizing their multivariate nature. The theory of coupling functions is discussed through gradually increasing complexity from strong and weak interactions to globally-coupled systems and networks. A varietyof methods that have been developed for the detection and reconstruction of coupling functions from measured data is described. These methods are based on different statistical techniques for dynamical inference. Stemming from physics, such methods are being applied in diverse areas of science and technology, including chemistry, biology, physiology, neuroscience, social sciences, mechanics and secure communications. This breadth of application illustrates the universality of coupling functions for studying the interaction mechanisms of coupled dynamical systems.",
keywords = "Coupling function , Nonlinear oscillators, Interactions, Time variability",
author = "Tomislav Stankovski and Tiago Pereira and McClintock, {Peter Vaughan Elsmere} and Aneta Stefanovska",
note = " {\textcopyright} 2017 American Physical Society",
year = "2017",
month = nov
day = "6",
doi = "10.1103/RevModPhys.89.045001",
language = "English",
volume = "89",
journal = "Reviews of Modern Physics",
issn = "0034-6861",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Coupling functions

T2 - universal insights into dynamical interaction mechanisms

AU - Stankovski, Tomislav

AU - Pereira, Tiago

AU - McClintock, Peter Vaughan Elsmere

AU - Stefanovska, Aneta

N1 - © 2017 American Physical Society

PY - 2017/11/6

Y1 - 2017/11/6

N2 - The dynamical systems found in Nature are rarely isolated. Instead they interact and influence each other. The coupling functions that connect them contain detailed information about the functional mechanisms underlying the interactions and prescribe the physical rule specifying how an interaction occurs. Here, we aim to present a coherent and comprehensive review encompassing the rapid progress made recently in the analysis, understanding and applications of coupling functions. The basic concepts and characteristics of coupling functions are presented through demonstrative examples of different domains, revealing the mechanisms and emphasizing their multivariate nature. The theory of coupling functions is discussed through gradually increasing complexity from strong and weak interactions to globally-coupled systems and networks. A varietyof methods that have been developed for the detection and reconstruction of coupling functions from measured data is described. These methods are based on different statistical techniques for dynamical inference. Stemming from physics, such methods are being applied in diverse areas of science and technology, including chemistry, biology, physiology, neuroscience, social sciences, mechanics and secure communications. This breadth of application illustrates the universality of coupling functions for studying the interaction mechanisms of coupled dynamical systems.

AB - The dynamical systems found in Nature are rarely isolated. Instead they interact and influence each other. The coupling functions that connect them contain detailed information about the functional mechanisms underlying the interactions and prescribe the physical rule specifying how an interaction occurs. Here, we aim to present a coherent and comprehensive review encompassing the rapid progress made recently in the analysis, understanding and applications of coupling functions. The basic concepts and characteristics of coupling functions are presented through demonstrative examples of different domains, revealing the mechanisms and emphasizing their multivariate nature. The theory of coupling functions is discussed through gradually increasing complexity from strong and weak interactions to globally-coupled systems and networks. A varietyof methods that have been developed for the detection and reconstruction of coupling functions from measured data is described. These methods are based on different statistical techniques for dynamical inference. Stemming from physics, such methods are being applied in diverse areas of science and technology, including chemistry, biology, physiology, neuroscience, social sciences, mechanics and secure communications. This breadth of application illustrates the universality of coupling functions for studying the interaction mechanisms of coupled dynamical systems.

KW - Coupling function

KW - Nonlinear oscillators

KW - Interactions

KW - Time variability

U2 - 10.1103/RevModPhys.89.045001

DO - 10.1103/RevModPhys.89.045001

M3 - Journal article

VL - 89

JO - Reviews of Modern Physics

JF - Reviews of Modern Physics

SN - 0034-6861

IS - 4

M1 - 045001

ER -