Document Type : Research Paper

Authors

• Selcuk Emiroglu
• Yılmaz Uyaroğlu

Department of Electrical Electronics Engineering, Faculty of Engineering, Sakarya University, Turkey

Abstract

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.

Keywords

• 4D hyperchaotic system
• passive control
• chaos control
• complex dynamic behavior