An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems

The eigenvalues and stability of the delayed reaction-diffusion systems are considered using the algebraic methods. Firstly, new algebraic criteria to determine the pure imaginary eigenvalues are derived by applying the matrix pencil and the linear operator methods. Secondly, a practical checkable c...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society 2013-01, Vol.2013 (2013), p.808-814-095
Main Authors: Ma, Jian, Zheng, Baodong
Format: Article
Language:English
Subjects:
Algebra
Asymptotic properties
Criteria
Dynamical systems
Dynamics
Eigenvalues
Mathematical models
Mathematical research
Operator theory
Pencils
Stability
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Summary:The eigenvalues and stability of the delayed reaction-diffusion systems are considered using the algebraic methods. Firstly, new algebraic criteria to determine the pure imaginary eigenvalues are derived by applying the matrix pencil and the linear operator methods. Secondly, a practical checkable criteria for the asymptotic stability are introduced.
ISSN:1026-0226
1607-887X
DOI:10.1155/2013/412343