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Maysoon Mal-Allah Aziz
University of Mosul

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Stability and chaos with mathematical control of 4-D dynamical system Maysoon Mal-Allah Aziz; Dalya M. Merie
Indonesian Journal of Electrical Engineering and Computer Science Vol 20, No 3: December 2020
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijeecs.v20.i3.pp1242-1251

Abstract

A new four-dimensional continuous-time system is dealt in this paper. The system employs eight simple terms involving two quadratic cross-product nonlinear terms. The fundamental characteristics of the system are analyzed by means of equilibrium points, stability analysis, dissipativity, wave form analysis, Lapiynuov Exponents and Kaplan-Yorke dimension. The maximum value of Lapiynuov exponent is obtain as (1.660748) andKaplan Yorke dimension obtain as (), that show the system is unstable and highly chaotic. As well, an optimal controller by adaptive control strategy is established to be system trajectories are stable. Finally, Adaptive synchronization of system (1) is clarified. Tables are made to compare the theoretical and graphical results of the system before and after control.
Co-Authors Dalya M. Merie