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Aziz, M.M. and Jihad, O.M. (2021) Stability, Chaos Diagnose and Adaptive Control of Two Dimensional Discrete-Time Dynamical System. Open Access Library Journal, 8, Article No. e7270. https://doi.org/10.4236/oalib.1107270

has been cited by the following article:

• TITLE: Stability & Chaos Tests of 2D Discrete Time Dynamical System with Hidden Attractors

  AUTHORS: Maysoon M. Aziz, Omar M. Jihad

  KEYWORDS: Hidden Attractors, Chaos, Lyapunov Exponent, Lyapunov Dimension, Binary Test, Adaptive Control

  JOURNAL NAME: Open Access Library Journal, Vol.8 No.6, June 23, 2021

  ABSTRACT: 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.