A novel double-convection chaotic attractor, its adaptive control and circuit simulation

Indonesian Operations Research Association - International Conference on Operations Research 2017

Mamat, M.^1 ; Vaidyanathan, S.^2 ; Sambas, A.^3 ; Mujiarto^3 ; Sanjaya, W.S.M.^4 ; Subiyanto^5

Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Kuala Terengganu, Malaysia^1

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

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

Department of Physics, Universitas Islam Negeri Sunan Gunung Djati, Bandung, Indonesia^4

Department of Marine Science, Faculty of Fishery and Marine Science, Universitas Padjadjaran, Indonesia^5

关键词: Chaotic attractors;    Circuit realization;    Dynamical properties;    Kaplan-Yorke dimensions;    Lyapunov stability theory;    New chaotic systems;    Non-linear controllers;    Stability analysis;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/332/1/012033/pdf
DOI  :  10.1088/1757-899X/332/1/012033

来源: IOP

【 摘 要 】

A 3-D novel double-convection chaotic system with three nonlinearities is proposed in this research work. The dynamical properties of the new chaotic system are described in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, stability analysis of equilibria, etc. Adaptive control and synchronization of the new chaotic system with unknown parameters are achieved via nonlinear controllers and the results are established using Lyapunov stability theory. Furthermore, an electronic circuit realization of the new 3-D novel chaotic system is presented in detail. Finally, the circuit experimental results of the 3-D novel chaotic attractor show agreement with the numerical simulations.