Reconstructing effective phase connectivity of oscillator networks from observations
- We present a novel approach for recovery of the directional connectivity of a small oscillator network by means of the phase dynamics reconstruction from multivariate time series data. The main idea is to use a triplet analysis instead of the traditional pairwise one. Our technique reveals an effective phase connectivity which is generally not equivalent to a structural one. We demonstrate that by comparing the coupling functions from all possible triplets of oscillators, we are able to achieve in the reconstruction a good separation between existing and non-existing connections, and thus reliably reproduce the network structure.
| Author details: | Bjoern Kralemann, Arkadij PikovskijORCiDGND, Michael RosenblumORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1088/1367-2630/16/8/085013 |
| ISSN: | 1367-2630 |
| Title of parent work (English): | New journal of physics : the open-access journal for physics |
| Publisher: | IOP Publ. Ltd. |
| Place of publishing: | Bristol |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2014 |
| Publication year: | 2014 |
| Release date: | 2017/03/27 |
| Tag: | connectivity; coupled oscillators; data analysis; network reconstruction |
| Volume: | 16 |
| Number of pages: | 21 |
| Funding institution: | Russian Ministry of Education and Science [02.B.49.21.0003] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
| Publishing method: | Open Access |
