Turing Instability of Brusselator in the Reaction-Diffusion Network

Joint Authors

Ji, Yansu
Shen, Jianwei

Source

Complexity

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

Philosophy

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