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
收藏
页数:7
相关论文
共 37 条
  • [31] Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form
    Dadras, Sara
    Momeni, Hamid Reza
    Qi, Guoyuan
    Wang, Zhong-lin
    NONLINEAR DYNAMICS, 2012, 67 (02) : 1161 - 1173
  • [32] Qualitative analysis of a new 6D hyper-chaotic system via bifurcation, the Poincare notion, and its circuit implementation
    Khattar, D.
    Agrawal, N.
    Sirohi, M.
    INDIAN JOURNAL OF PHYSICS, 2024, 98 (01) : 259 - 273
  • [33] Complex behaviors in a new 4D memristive hyperchaotic system without equilibrium and its microcontroller-based implementation
    Kuate, Paul Didier Kamdem
    Lai, Qiang
    Fotsin, Hilaire
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2019, 228 (10) : 2171 - 2184
  • [34] A New 4D Four-Wing Memristive Hyperchaotic System: Dynamical Analysis, Electronic Circuit Design, Shape Synchronization and Secure Communication
    Yu, Fei
    Qian, Shuai
    Chen, Xi
    Huang, Yuanyuan
    Liu, Li
    Shi, Changqiong
    Cai, Shuo
    Song, Yun
    Wang, Chunhua
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (10):
  • [35] Synchronization of a Seven-Term Chaotic 4D System Using a Simplified Fixed-Time Adaptive Integral Nonsingular Terminal Sliding Mode Control and Its Circuit Realization
    Wongvanich, Napasool
    Moonmuang, Pitchayanin
    Roongmuanpha, Natchanai
    Tangsrirat, Worapong
    IEEE ACCESS, 2024, 12 : 106808 - 106821
  • [36] A new multistable double-scroll 4-D hyperchaotic system with no equilibrium point, its bifurcation analysis, synchronization and circuit design
    Vaidyanathan, Sundarapandian
    He, Shaobo
    Sambas, Aceng
    ARCHIVES OF CONTROL SCIENCES, 2021, 31 (01) : 99 - 128
  • [37] A new two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium, its bifurcation analysis, circuit design and a control application to complete synchronization
    Vaidyanathan, Sundarapandian
    Moroz, Irene M.
    Sambas, Aceng
    ARCHIVES OF CONTROL SCIENCES, 2023, 33 (02) : 277 - 298