Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case

الملخص 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.