Bumps, chimera states, and Turing patterns in systems of coupled active rotators
- Self-organized coherence-incoherence patterns, called chimera states, have first been reported in systems of Kuramoto oscillators. For coupled excitable units, similar patterns where coherent units are at rest are called bump states. Here, we study bumps in an array of active rotators coupled by nonlocal attraction and global repulsion. We demonstrate how they can emerge in a supercritical scenario from completely coherent Turing patterns: a single incoherent unit appears in a homoclinic bifurcation, undergoing subsequent transitions to quasiperiodic and chaotic behavior, which eventually transforms into extensive chaos with many incoherent units. We present different types of transitions and explain the formation of coherence-incoherence patterns according to the classical paradigm of short-range activation and long-range inhibition.
Author details: | Igor FranovićORCiD, Oleh Omel'chenkoORCiDGND, Matthias Wolfrum |
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DOI: | https://doi.org/10.1103/PhysRevE.104.L052201 |
ISSN: | 2470-0045 |
ISSN: | 2470-0053 |
Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/34942776 |
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: | 2021/11/04 |
Publication year: | 2021 |
Release date: | 2024/02/21 |
Volume: | 104 |
Issue: | 5 |
Article number: | L052201 |
Number of pages: | 5 |
Funding institution: | Institute of Physics Belgrade through Ministry of Education, Science and Technological Development of the Republic of Serbia; Deutsche ForschungsgemeinschaftGerman Research Foundation (DFG) [OM 99/2-1]; Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)German Research Foundation (DFG) [163436311-SFB 910] |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
5 Naturwissenschaften und Mathematik / 57 Biowissenschaften; Biologie / 570 Biowissenschaften; Biologie | |
Peer review: | Referiert |