Emergent dynamics of the Lohe matrix ensemble on a network under time-delayed interactions
- Authors
- Ha, Seung-Yeal; Kim, Doheon; Kim, Dohyun; Park, Hansol; Shim, Woojoo
- Issue Date
- Jan-2020
- Publisher
- American Institute of Physics
- Citation
- Journal of Mathematical Physics, v.6, no.1, pp 1 - 24
- Pages
- 24
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Mathematical Physics
- Volume
- 6
- Number
- 1
- Start Page
- 1
- End Page
- 24
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/114171
- DOI
- 10.1063/1.5123257
- ISSN
- 0022-2488
1089-7658
- Abstract
- We study emergent dynamics of the Lohe matrix model on the unitary group in the presence of several external factors. First, we consider how the static network structure can affect the emergent dynamics for the identical ensemble. To be more precise, we present a sufficient framework leading to the completely aggregated state and improve asymptotic dynamics on the all-to-all network case. Second, we investigate the uniform time-delay structure effect on the emergent dynamics of the Lohe matrix model and show that complete aggregation can occur when the size of the time-delay is sufficiently small. Finally, we study the interplay between the network structure and time-delayed interactions in the asymptotic dynamics of the Lohe matrix model. In this case, we cannot expect complete synchronous behavior. Instead, we show that the system exhibits weak aggregation, namely, practical aggregation, when the coupling strength is sufficiently large. © 2020 Author(s).
- Files in This Item
-
Go to Link
- Appears in
Collections - COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY > ERICA 수리데이터사이언스학과 > 1. Journal Articles
![qrcode](https://api.qrserver.com/v1/create-qr-code/?size=55x55&data=https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/114171)
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.