Turing Instability of Brusselator in the Reaction-Diffusion Network
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-05
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Turing instability constitutes a universal paradigm for the spontaneous generation of spatially organized patterns, especially in a chemical reaction.
In this paper, we investigated the pattern dynamics of Brusselator from the view of complex networks and considered the interaction between diffusion and reaction in the random network.
After a detailed theoretical analysis, we obtained the approximate instability region about the diffusion coefficient and the connection probability of the random network.
In the meantime, we also obtained the critical condition of Turing instability in the network-organized system and found that how the network connection probability and diffusion coefficient affect the reaction-diffusion system of the Brusselator model.
In the end, the reason for arising of Turing instability in the Brusselator with the random network was explained.
Numerical simulation verified the theoretical results.
American Psychological Association (APA)
Ji, Yansu& Shen, Jianwei. 2020. Turing Instability of Brusselator in the Reaction-Diffusion Network. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1139918
Modern Language Association (MLA)
Ji, Yansu& Shen, Jianwei. Turing Instability of Brusselator in the Reaction-Diffusion Network. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1139918
American Medical Association (AMA)
Ji, Yansu& Shen, Jianwei. Turing Instability of Brusselator in the Reaction-Diffusion Network. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1139918
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139918