4 citations · 10 across the 5 of their papers we have counts for
5 papers
Methods for determination and approximation of domains of attraction in the case of autonomous discrete dynamical systems
St. Balint, E. Kaslik, A. M. Balint +1
A method for determination and two methods for approximation of the domain of attraction of an asymptotically stable steady state of an autonomous, -analytic…
Methods for determination and approximation of the domain of attraction
E. Kaslik, A. M. Balint, St. Balint
In this paper, an -analytical function and the sequence of its Taylor polynomials (which are Lyapunov functions different from those of Vanelli & Vidyasagar (1985, Auto…
An extension of the characterization of the domain of attraction of an asymptotically stable fixed point in the case of a nonlinear discrete dynamical system
E. Kaslik, A. M. Balint, A. Grigis +1
The purpose of this paper is to show that if the spectral radius of the matrix of the linearized system of a nonlinear discrete dynamical system is less then one then the character…
On the controllability of some steady states in the case of nonlinear discrete dynamical systems with control
E. Kaslik, A. M. Balint, A. Grigis +1
The main objective of this paper is to show that two asymptotically stable steady states which belong to an analytic path of asymptotically stable steady states can be gradually tr…
Approximation of the domain of attraction of an asymptotically stable fixed point of a first order analytical system of difference equations
E. Kaslik, A. M. Balint, S. Birauas +1
In this paper a first order analytical system of difference equations is considered. For an asymptotically stable fixed point x0 of the system a gradual approximation of the domain…