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A new 4D chaotic system with hidden attractor and its engineering applications: Analog circuit design and field programmable gate array implementation
Authors:Hamid Reza Abdolmohammadi  Abdul Jalil M Khalaf  Shirin Panahi  Karthikeyan Rajagopal  Viet-Thanh Pham  Sajad Jafari
Institution:1.Department of Electrical Engineering,Golpayegan University of Technology,Golpayegan,Iran;2.Department of Mathematics, Faculty of Computer Science and Mathematics,University of Kufa,Najaf,Iraq;3.Biomedical Engineering Department,Amirkabir University of Technology,Tehran,Iran;4.Department of Electrical and Communication Engineering,The Papua New Guinea University of Technology,Lae,Papua New Guinea;5.School of Electronics and Telecommunications,Hanoi University of Science and Technology,Hanoi,Vietnam
Abstract: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.
Keywords:
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