Stability and Chaos Tests of 2D Discrete Time Dynamical System with Hidden Attractors

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.