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

Jian Ma | Zendy; Baodong Zheng | Zendy

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

Author(s) -

Jian Ma,

Baodong Zheng

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/412343

Subject(s) - eigenvalues and eigenvectors , matrix pencil , algebraic number , mathematics , pencil (optics) , stability (learning theory) , operator (biology) , matrix (chemical analysis) , exponential stability , pure mathematics , mathematical analysis , algebra over a field , computer science , physics , biochemistry , chemistry , materials science , repressor , quantum mechanics , machine learning , transcription factor , composite material , gene , nonlinear system

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

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