%0 Journal Article
%T Stability and Chaos Tests of 2D Discrete Time Dynamical System with Hidden Attractors
%A Maysoon M. Aziz
%A Omar M. Jihad
%J Open Access Library Journal
%V 8
%N 6
%P 1-11
%@ 2333-9721
%D 2021
%I Open Access Library
%R 10.4236/oalib.1107501
%X In this research two-dimensional dynamical system was taken. The system was analyzed through its fixed points, stability analysis, chaos diagnoses and adaptive control technique. It was found that the system had a hidden attractor and unstable fixed points. The largest value of Lyapunov exponent equals 1.853981 and from binary test we get: k = 0.9305, which indicates that the system is chaotic. Adaptive control technique was performed, and it was found that the system is stable and regular after control.
%K Hidden Attractors
%K Chaos
%K Lyapunov Exponent
%K Lyapunov Dimension
%K Binary Test
%K Adaptive Control
%U http://www.oalib.com/paper/6756192