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.