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

DOI: 10.4236/oalib.1107501, PP. 1-11

Subject Areas: Dynamical System

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

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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.

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Aziz, M. M. and Jihad, O. M. (2021). Stability and Chaos Tests of 2D Discrete Time Dynamical System with Hidden Attractors. Open Access Library Journal, 8, e7501. doi: http://dx.doi.org/10.4236/oalib.1107501.

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