Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case
Joint Authors
Grytsay, Irina V.
Šmarda, Zdenĕk
Khusainov, Denys Ya.
Diblík, Josef
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-29
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
Many processes are mathematically simulated by systems of discrete equations with quadratic right-hand sides.
Their stability is thought of as a very important characterization of the process.
In this paper, the method of Lyapunov functions is used to derive classes of stable quadratic discrete autonomous systems in a critical case in the presence of a simple eigenvalue λ=1 of the matrix of linear terms.
In addition to the stability investigation, we also estimate stability domains.
American Psychological Association (APA)
Diblík, Josef& Khusainov, Denys Ya.& Grytsay, Irina V.& Šmarda, Zdenĕk. 2010. Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-23.
https://search.emarefa.net/detail/BIM-479760
Modern Language Association (MLA)
Diblík, Josef…[et al.]. Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-23.
https://search.emarefa.net/detail/BIM-479760
American Medical Association (AMA)
Diblík, Josef& Khusainov, Denys Ya.& Grytsay, Irina V.& Šmarda, Zdenĕk. Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-23.
https://search.emarefa.net/detail/BIM-479760
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479760
