A new 4D chaotic system with hidden attractor and its engineering applications: Analog circuit design and field programmable gate array implementation

被引:21
作者
Abdolmohammadi, Hamid Reza [1 ]
Khalaf, Abdul Jalil M. [2 ]
Panahi, Shirin [3 ]
Rajagopal, Karthikeyan [4 ]
Viet-Thanh Pham [5 ]
Jafari, Sajad [3 ]
机构
[1] Golpayegan Univ Technol, Dept Elect Engn, Golpayegan, Iran
[2] Univ Kufa, Fac Comp Sci & Math, Dept Math, Najaf, Iraq
[3] Amirkabir Univ Technol, Biomed Engn Dept, Tehran 158754413, Iran
[4] Papua New Guinea Univ Technol, Dept Elect & Commun Engn, Lae, Papua N Guinea
[5] Hanoi Univ Sci & Technol, Sch Elect & Telecommun, 01 Dai Co Viet, Hanoi, Vietnam
来源
PRAMANA-JOURNAL OF PHYSICS | 2018年 / 90卷 / 06期
关键词
Chaotic system; no equilibrium; hidden attractors; field programmable gate arrays; CONVECTIVE FLUID MOTION; EXTREME MULTISTABILITY; NO EQUILIBRIA; SYNCHRONIZATION; FLOWS; INPUT; LINE;
D O I
10.1007/s12043-018-1569-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Nowadays, designing chaotic systems with hidden attractor is one of the most interesting topics in nonlinear dynamics and chaos. In this paper, a new 4D chaotic system is proposed. This new chaotic system has no equilibria, and so it belongs to the category of systems with hidden attractors. Dynamical features of this system are investigated with the help of its state-space portraits, bifurcation diagram, Lyapunov exponents diagram, and basin of attraction. Also a hardware realisation of this system is proposed by using field programmable gate arrays (FPGA). In addition, an electronic circuit design for the chaotic system is introduced.
引用
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页数:7
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