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Synchronization of Kuramoto Oscillators with Adaptive Couplings
- Authors
- Ha, Seung-Yeal; Noh, Se Eun; Park, Jinyeong
- Issue Date
- Jan-2016
- Publisher
- SIAM PUBLICATIONS
- Keywords
- Kuramoto oscillators; adaptive couplings; complete synchronization; practical synchronization
- Citation
- SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, v.15, no.1, pp.162 - 194
- Indexed
- SCIE
SCOPUS
- Journal Title
- SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- Volume
- 15
- Number
- 1
- Start Page
- 162
- End Page
- 194
- ISSN
- 1536-0040
- Abstract
- We study the synchronization of Kuramoto oscillators with adaptive coupling in interacting networks. Network dynamics preserves the sum of all incoming pairwise coupling strengths and is designed to adaptively interact with system dynamics. For adaptive couplings, we use two adaptive coupling laws for the pairwise coupling strength. Kuramoto oscillators are assumed to be on the nodes of the networks. We present frameworks that guarantee the emergence of synchronization for various coupling feedback laws. Our results generalize earlier work on the synchronization of Kuramoto oscillators in fixed and symmetric networks.
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Related Researcher
- Park, Jin yeong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)