In this study, the dynamical behavior of the four-dimensional (4D) hyperchaotic system is analyzed. Its chaotic dynamical behaviors and basic dynamical properties are presented by Lyapunov exponents, stability analysis, and Kaplan-Yorke dimension. Then, the control of 4D hyperchaotic system is implemented by using passive control. The global asymptotic stability of the system is guaranteed by using Lyapunov function. Simulation results are shown to validate all theoretical analysis and demonstrate the effectiveness of the proposed control method. By applying the passive controllers, the system under chaotic behavior converges to the equilibrium point at origin asymptotically.
Emiroglu, S., Uyaroğlu, Y. (2021). Analysis and control of a 4D hyperchaotic system with passive control. International Journal of Nonlinear Analysis and Applications, 12(1), 1087-1095. doi: 10.22075/ijnaa.2020.21594.2278
MLA
Selcuk Emiroglu; Yılmaz Uyaroğlu. "Analysis and control of a 4D hyperchaotic system with passive control". International Journal of Nonlinear Analysis and Applications, 12, 1, 2021, 1087-1095. doi: 10.22075/ijnaa.2020.21594.2278
HARVARD
Emiroglu, S., Uyaroğlu, Y. (2021). 'Analysis and control of a 4D hyperchaotic system with passive control', International Journal of Nonlinear Analysis and Applications, 12(1), pp. 1087-1095. doi: 10.22075/ijnaa.2020.21594.2278
VANCOUVER
Emiroglu, S., Uyaroğlu, Y. Analysis and control of a 4D hyperchaotic system with passive control. International Journal of Nonlinear Analysis and Applications, 2021; 12(1): 1087-1095. doi: 10.22075/ijnaa.2020.21594.2278
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