Turing Instability and Amplitude Equation of Reaction-Diffusion System with Multivariable
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-29
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this paper, we investigate pattern dynamics with multivariable by using the method of matrix analysis and obtain a condition under which the system loses stability and Turing bifurcation occurs.
In addition, we also derive the amplitude equation with multivariable.
This is an effective tool to investigate multivariate pattern dynamics.
The example and simulation used in this paper validate our theoretical results.
The method presented is a novel approach to the investigation of specific real systems based on the model developed in this paper.
American Psychological Association (APA)
Zheng, Qianqian& Shen, Jianwei. 2020. Turing Instability and Amplitude Equation of Reaction-Diffusion System with Multivariable. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1193173
Modern Language Association (MLA)
Zheng, Qianqian& Shen, Jianwei. Turing Instability and Amplitude Equation of Reaction-Diffusion System with Multivariable. Mathematical Problems in Engineering No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1193173
American Medical Association (AMA)
Zheng, Qianqian& Shen, Jianwei. Turing Instability and Amplitude Equation of Reaction-Diffusion System with Multivariable. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1193173
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193173