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

Autor:	Maysoon M. Aziz, Omar M. Jihad
Rok vydání:	2021
Předmět:	Nonlinear Sciences::Chaotic Dynamics symbols.namesake Adaptive control Discrete time and continuous time Attractor Chaotic symbols Applied mathematics Lyapunov exponent Fixed point Dynamical system Stability (probability) Mathematics
Zdroj:	OALib. :1-11
ISSN:	2333-9705 2333-9721
DOI:	10.4236/oalib.1107501
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2762b7838a5322e068693325c8affaff https://doi.org/10.4236/oalib.1107501 Zobrazit plný text záznamu