A hyperchaotic hyperjerk system with four nonlinearities, its dynamical analysis and circuit realization

3rd Indonesian Operations Research Association - International Conference on Operations Research 2018

计算机科学

Mujiarto^1 ; Vaidyanathan, S.^2 ; Zhang, S.^3 ; Sambas, A.^1 ; Sukono^4 ; Praiwi, A.S.^5 ; Subiyanto^6

Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia^1

Research and Development Centre, Vel Tech University, Avadi, Chennai, India^2

School of Physics and Opotoelectric Engineering, Xiangtan University, Hunan, China^3

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Indonesia^4

Faculty of Teacher Training and Education, Universitas Muhammadiyah Tasikmalaya, Indonesia^5

Department of Marine Science, Faculty of Fishery and Marine Science, Universitas Padjadjaran, Indonesia^6

关键词: Bifurcation diagram;    Circuit realization;    Dynamical analysis;    Dynamical properties;    Engineering applications;    Hyperjerk systems;    Kaplan-Yorke dimensions;    Lyapunov exponent;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/567/1/012012/pdf
DOI  :  10.1088/1757-899X/567/1/012012

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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