Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case

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 auto...

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Bibliographic Details
Main Authors: Josef Diblík, Denys Ya. Khusainov, Irina V. Grytsay, Zdenĕk Šmarda
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/539087