A new two-scroll chaotic attractor with three quadratic nonlinearities, its adaptive control and circuit design

Indonesian Operations Research Association - International Conference on Operations Research 2017

Lien, C.-H.^1 ; Vaidyanathan, S.^2 ; Sambas, A.^3 ; Sukono^4 ; Mamat, M.^5 ; Sanjaya, W.S.M.^6 ; Subiyanto^7

Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung

811, Taiwan^1

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

Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia^3

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

Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Kuala Terengganu, Malaysia^5

Department of Physics, Universitas Islam Negeri Sunan Gunung Djati, Bandung, Indonesia^6

Department of Marine Science, Faculty of Fishery and Marine Science, Universitas Padjadjaran, Indonesia^7

关键词: Adaptive feedback control;    Circuit realization;    Dynamical properties;    Engineering applications;    Kaplan-Yorke dimensions;    Lyapunov stability theory;    Quadratic nonlinearities;    Unstable equilibrium points;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/332/1/012010/pdf
DOI  :  10.1088/1757-899X/332/1/012010

来源: IOP

【 摘 要 】

A 3-D new two-scroll chaotic attractor with three quadratic nonlinearities is investigated in this paper. First, the qualitative and dynamical properties of the new two-scroll chaotic system are described in terms of phase portraits, equilibrium points, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc. We show that the new two-scroll dissipative chaotic system has three unstable equilibrium points. As an engineering application, global chaos control of the new two-scroll chaotic system with unknown system parameters is designed via adaptive feedback control and Lyapunov stability theory. Furthermore, an electronic circuit realization of the new chaotic attractor is presented in detail to confirm the feasibility of the theoretical chaotic two-scroll attractor model.