Coupled Möbius maps as a tool to model Kuramoto phase synchronization
- We propose Mobius maps as a tool to model synchronization phenomena in coupled phase oscillators. Not only does the map provide fast computation of phase synchronization, it also reflects the underlying group structure of the sinusoidally coupled continuous phase dynamics. We study map versions of various known continuous-time collective dynamics, such as the synchronization transition in the Kuramoto-Sakaguchi model of nonidentical oscillators, chimeras in two coupled populations of identical phase oscillators, and Kuramoto-Battogtokh chimeras on a ring, and demonstrate similarities and differences between the iterated map models and their known continuous-time counterparts.
Author details: | Chen Chris GongORCiD, Ralf TönjesORCiDGND, Arkady PikovskyORCiDGND |
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DOI: | https://doi.org/10.1103/PhysRevE.102.022206 |
ISSN: | 2470-0045 |
ISSN: | 2470-0053 |
ISSN: | 1063-651X |
ISSN: | 2470-0061 |
ISSN: | 1550-2376 |
Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/32942495 |
Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
Publisher: | American Physical Society |
Place of publishing: | College Park |
Publication type: | Article |
Language: | English |
Date of first publication: | 2020/08/12 |
Publication year: | 2020 |
Release date: | 2023/03/22 |
Volume: | 102 |
Issue: | 2 |
Article number: | 022206 |
Number of pages: | 12 |
Funding institution: | DFG/FAPESP [IRTG 1740/TRP 2015/50122-0]; [19-12-00367]; Russian Science; FoundationRussian Science Foundation (RSF) [19-12-00367] Funding Source:; Russian Science Foundation |
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 / Hybrid Open-Access |
License (German): | Keine öffentliche Lizenz: Unter Urheberrechtsschutz |