Home > Research > Publications & Outputs > Coupling Functions

Electronic data

  • PTRSA2019Theme IssueStankovskiIntroduction

    Rights statement: Gold OA purchased from Royal Society

    Final published version, 526 KB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License


Text available via DOI:

View graph of relations

Coupling Functions: Dynamical Interaction Mechanisms in the Physical, Biological and Social Sciences

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Article number20190275
<mark>Journal publication date</mark>16/12/2019
<mark>Journal</mark>Philosophical Transactions of the Royal Society of London A
Number of pages10
Publication StatusPublished
Early online date28/10/19
<mark>Original language</mark>English


Dynamical systems are widespread, with examples in physics, chemistry, biology, population dynamics, communications, climatology and social science. They are rarely isolated but generally interact with each other. These interactions can be characterised by coupling functions -- which contain detailed information about the functional mechanisms underlying the interactions and prescribe the physical rule specifying how each interaction occurs. Coupling functions can be used, not only to understand, but also to control and predict the outcome of the interactions. This theme issue assembles ground-breaking work on coupling functions by leading scientists. After overviewing the field and describing recent advances in the theory, it discusses novel methods for the detection and reconstruction of coupling functions from measured data. It then presents applications in chemistry, neuroscience, cardio-respiratory physiology, climate, electrical engineering and social science. Taken together, the collection summarises earlier work on coupling functions, reviews recent developments, presents the state-of-the-art, and looks forward to guide the future evolution of the field.