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

页数：7

共 37 条

[1] A new 4D chaotic system with hidden attractor and its engineering applications: Analog circuit design and field programmable gate array implementation
Hamid Reza Abdolmohammadi
Abdul Jalil M Khalaf
Shirin Panahi
Karthikeyan Rajagopal
Viet-Thanh Pham
Sajad Jafari
Pramana, 2018, 90
[2] A new chaotic system with hidden attractor and its engineering applications: analog circuit realization and image encryption
Cavusoglu, Unal
Panahi, Shirin
Akgul, Akif
Jafari, Sajad
Kacar, Sezgin
ANALOG INTEGRATED CIRCUITS AND SIGNAL PROCESSING, 2019, 98 (01) : 85 - 99
[3] A new chaotic system with hidden attractor and its engineering applications: analog circuit realization and image encryption
Ünal Çavuşoğlu
Shirin Panahi
Akif Akgül
Sajad Jafari
Sezgin Kaçar
Analog Integrated Circuits and Signal Processing, 2019, 98 : 85 - 99
[4] Implementation of a new chaotic system based on field programmable gate array
Shao Shu-Yi
Min Fu-Hong
Wu Xue-Hong
Zhang Xin-Guo
ACTA PHYSICA SINICA, 2014, 63 (06)
[5] A New Four-Dimensional Chaotic System with Hidden Attractor and its Circuit Design
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[6] A 4-D chaotic hyperjerk system with a hidden attractor, adaptive backstepping control and circuit design
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Lei, Tengfei
MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
[8] Chaotic digital communication system based on field programmable gate array technology-Design and implementation
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ACTA PHYSICA SINICA, 2009, 58 (01) : 113 - 119
[9] A New 4D Chaotic System Based on Memristor and Circuit Design
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NONLINEAR PHENOMENA IN COMPLEX SYSTEMS, 2024, 27 (02): : 135 - 145
[10] Dynamics, Periodic Orbit Analysis, and Circuit Implementation of a New Chaotic System with Hidden Attractor
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FRACTAL AND FRACTIONAL, 2022, 6 (04)

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