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

Details 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 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

2004-03-02

arxiv.org/abs/math/0403035v1

Mathematics

Dynamical Systems

conference ICNPAA 2004, Timisoara, Romania, 2-4 June, 2004

Scientific paper

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 characterization theorem from \cite{KBBB1,KBGB2} holds.

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