Article citationsMore>>

Leonov, G.A. and Kuznetsov, N.V. (2015) On Differences and Similarities in the Analysis of Lorenz, Chen, and Lu Systems. Applied Mathematics and Computation, 256, 334-343. https://doi.org/10.1016/j.amc.2014.12.132

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.