A Hyperchaotic System with Three Quadratic Nonlinearities, its Dynamical Analysis and Circuit Realization
C-H Lien1,*, S Vaidyanathan2 , S Zhang3 , A Sambas4 , Mujiarto4 and Subiyanto5

1 Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan
2Research and Development Centre, Vel Tech University, Avadi, Chennai, India
3School of Physics and Opotoelectric Engineering,Xiangtan University, Hunan, China
4Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia
5Department of Marine Science, Faculty of Fishery and Marine Science, Universitas Padjadjaran, Indonesia

Abstract

A new four-dimensional hyperchaotic system with three quadratic nonlinearities is
proposed in this paper. The dynamical properties of the new hyperchaotic system are explored
in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc.
Also, a detailed dynamical analysis of the new hyperchaotic system has been carried out with
bifurcation diagram and Lyapunov exponents. As an engineering application, an electronic
circuit realization of the new hyperchaotic system is designed via MultiSIM to confirm the
feasibility of the theoretical hyperchaotic model.

Keywords: Hyperchaotic System, Three Quadratic Nonlinearities

Topic: Engineering and Technology