A Simple Chaotic System with Only One Nonlinear Term: Circuit Design and Experimental Validation

摘要

In this paper, a new three-dimensional chaotic system with only one nonlinear term is introduced. The proposed system is based on the Jerk equation characterized by a simple algebraic form so appropriate for circuit design. Despite the simplicity of the designed algebraic structure, the chaotic system exhibits highly complex dynamic behaviors compared to related ones. An electronic circuit is designed by using the MultiSIM Software in order to enhance the potential application of the proposed system. Finally, experimental investigations show the efficiency of the designed circuit and prove the good qualitative agreement between numerical simulations and experimental results.