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- Title
Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case.
- Authors
Diblík, Josef; Khusainov, Denys Ya.; Grytsay, Irina V.; Šmarda, Zdenᄛk
- Abstract
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.
- Subjects
EIGENVALUES; LYAPUNOV functions; MATRICES (Mathematics); DIFFERENTIAL equations; MATHEMATICS; EQUATIONS
- Publication
Discrete Dynamics in Nature & Society, 2010, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2010/539087