A new chaotic attractor with two quadratic nonlinearities, its synchronization and circuit implementation

Indonesian Operations Research Association - International Conference on Operations Research 2017

Vaidyanathan, S.^1 ; Sambas, A.^2 ; Sukono^3 ; Mamat, M.^4 ; Gundara, G.^1 ; Mada Sanjaya, W.S.^5 ; Subiyanto^6

Research and Development Centre, Vel Tech University, Avadi, Chennai, India^1

Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia^2

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Indonesia^3

Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Kuala Terengganu, Malaysia^4

Department of Physics, Universitas Islam Negeri Sunan Gunung Djati, Bandung, Indonesia^5

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

关键词: Adaptive synchronizations;    Circuit implementation;    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/332/1/012048/pdf
DOI  :  10.1088/1757-899X/332/1/012048

来源: IOP

【 摘 要 】

A 3-D new chaotic attractor with two quadratic nonlinearities is proposed in this paper. The dynamical properties of the new chaotic system are described in terms of phase portraits, equilibrium points, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc. We show that the new chaotic system has three unstable equilibrium points. The new chaotic attractor is dissipative in nature. As an engineering application, adaptive synchronization of identical new chaotic attractors is designed via nonlinear 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 attractor model.