![](/images/graphics-bg.png)
The Applications of Algebraic Methods on Stable Analysis for General Differential Dynamical Systems with Multidelays
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The distribution of purely imaginary eigenvalues and stabilities of generally singular or neutral differential dynamical systems with multidelays are discussed.
Choosing delays as parameters, firstly with commensurate case, we find new algebraic criteria to determine the distribution of purely imaginary eigenvalues by using matrix pencil, linear operator, matrix polynomial eigenvalues problem, and the Kronecker product.
Additionally, we get practical checkable conditions to verdict the asymptotic stability and Hopf bifurcation of differential dynamical systems.
At last, with more general case, the incommensurate, we mainly study critical delays when the system appears purely imaginary eigenvalue.
American Psychological Association (APA)
Ma, Jian& Zheng, Baodong. 2015. The Applications of Algebraic Methods on Stable Analysis for General Differential Dynamical Systems with Multidelays. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060844
Modern Language Association (MLA)
Ma, Jian& Zheng, Baodong. The Applications of Algebraic Methods on Stable Analysis for General Differential Dynamical Systems with Multidelays. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1060844
American Medical Association (AMA)
Ma, Jian& Zheng, Baodong. The Applications of Algebraic Methods on Stable Analysis for General Differential Dynamical Systems with Multidelays. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060844
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060844