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Ouannas, A., Khennaoui, A.A., Momani, S., Grassi, G., Pham, V.T., ElKhazali, R. and Vo Hoang, D. (2020) A Quadratic Fractional Map without Equilibria: Bifurcation, 0-1 Test, Complexity, Entropy, and Control. Electronics, 9, Article No. 748. https://doi.org/10.3390/electronics9050748

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.