Reconstruction of a random phase dynamics network from observations
- We consider networks of coupled phase oscillators of different complexity: Kuramoto–Daido-type networks, generalized Winfree networks, and hypernetworks with triple interactions. For these setups an inverse problem of reconstruction of the network connections and of the coupling function from the observations of the phase dynamics is addressed. We show how a reconstruction based on the minimization of the squared error can be implemented in all these cases. Examples include random networks with full disorder both in the connections and in the coupling functions, as well as networks where the coupling functions are taken from experimental data of electrochemical oscillators. The method can be directly applied to asynchronous dynamics of units, while in the case of synchrony, additional phase resettings are necessary for reconstruction.
Author details: | Arkadij PikovskijORCiDGND |
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DOI: | https://doi.org/10.1016/j.physleta.2017.11.012 |
ISSN: | 0375-9601 |
ISSN: | 1873-2429 |
Title of parent work (English): | Physics letters : A |
Publisher: | Elsevier |
Place of publishing: | Amsterdam |
Publication type: | Article |
Language: | English |
Date of first publication: | 2017/11/15 |
Publication year: | 2018 |
Release date: | 2022/02/09 |
Tag: | Network reconstruction; Phase dynamics |
Volume: | 382 |
Issue: | 4 |
Number of pages: | 6 |
First page: | 147 |
Last Page: | 152 |
Funding institution: | Russian Science FoundationRussian Science Foundation (RSF) [17 12 01534] |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Peer review: | Referiert |
Publishing method: | Open Access / Green Open-Access |