Analysis and Mathematical Physics

, Volume 9, Issue 1, pp 523–529 | Cite as

Computing the Douady–Earle extension using Kuramoto oscillators

  • Vladimir JaćimovićEmail author


We demonstrate that the Douady–Earle extension can be computed by solving the specific set of ODE’s. This system of ODE’s has several interpretations in Mathematical Physics, such as Kuramoto model of coupled oscillators or Josephson junction arrays. This method emphasizes the key role of conformal barycenter in some theories of Mathematical Physics. On the other hand, it indicates that variations of Kuramoto model might be used in different problems of computational quasiconformal geometry. The idea can be extended to compute the D–E extension in higher dimensions as well.


Conformal barycenter Douady–Earle extension Coupled oscillators Kuramoto model 



The author wishes to thank his colleague prof. David Kalaj for valuable discussions.

Compliance with ethical standards

Conflict of interest

The author declares that he has no conflict of interest.


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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Natural Sciences and MathematicsUniversity of MontenegroPodgoricaMontenegro

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