Analysis of a system of multi-scroll attractors in their mirror & electronic

被引:0
|
作者
Goufo, Emile F. Doungmo [1 ]
机构
[1] Univ South Africa, Dept Math Sci, ZA-0003 Florida, South Africa
关键词
Multi wing and multi scroll attractor; Chaos; Variable order operator; Mirroring and fractal; Circuit implementation; HIDDEN CHAOTIC ATTRACTORS; NUMERICAL-SOLUTION; COEXISTENCE;
D O I
10.1016/j.asej.2024.102951
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Attractors with multiple wings and many scrolls remain captivating for the number and variety of non-linear bifurcations they display. Then, other features related to these attractors like hyper-chaos, fractal, hidden attractor, strange attractor are also significant. This paper analyzes and implements another important attractors' feature, related to generating their mirror symmetrical projections which also conserve the original properties. The generation of that mirroring process is possible thanks to the perturbation with the duality-symmetrical operator epsilon and the mirror conversion function lambda, that have been incorporated into a variable order four dimensional system of chaotic attractors with many scrolls (CAMS). We first solve the model numerically and analyze the committed error then, we study the system's state of disorder, stability and randomness. Numerical simulations are performed and show existence of the model's CAMS in their mirroring structure, where the mirror images share identical properties. Lastly, a programmed circuit implementation is done making used of a digital-to-analog converter (DAC) and a Field Programmable Gate Array (FPGA) board. The obtained digital outputs via the Rigol digital oscilloscope (RDO) correspond to the intended outcomes, those found in the analytical-numerical part of the work.
引用
收藏
页数:15
相关论文
共 50 条
  • [41] Simulation of a family of multi-folded torus and multi-scroll chaotic attractors
    Wang Fa-Qiang
    Liu Chong-Xin
    ACTA PHYSICA SINICA, 2007, 56 (04) : 1983 - 1987
  • [42] Hidden multi-scroll and coexisting self-excited attractors in optical injection semiconductor laser system: Its electronic control
    Mengue, A. D.
    Essimbi, B. Z.
    CHAOS, 2024, 34 (11)
  • [43] Double-controller of synchronizing chaotic systems with multi-scroll attractors
    Electronic Engineer College, Heilongjiang University, Harbin 150080, China
    Dianji yu Kongzhi Xuebao, 2008, 2 (190-194): : 190 - 194
  • [44] Generating Multi-Scroll Chaotic Attractors via Switched Fractional Systems
    Guanghui Sun
    Mao Wang
    Lilian Huang
    Liqun Shen
    Circuits, Systems, and Signal Processing, 2011, 30 : 1183 - 1195
  • [45] Selection of multi-scroll attractors in Jerk circuits and their verification using Pspice
    Jun Ma
    Xinyi Wu
    Runtong Chu
    Liping Zhang
    Nonlinear Dynamics, 2014, 76 : 1951 - 1962
  • [46] Generating Multi-Scroll Chaotic Attractors via Switched Fractional Systems
    Sun, Guanghui
    Wang, Mao
    Huang, Lilian
    Shen, Liqun
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2011, 30 (06) : 1183 - 1195
  • [47] Design of Multi-scroll Chaotic Attractors using Nonlinear Exponential Function
    Liang, Jiaqian
    Zhang, Nan
    Qian, Gongbin
    PROCEEDINGS OF 2017 IEEE 2ND INFORMATION TECHNOLOGY, NETWORKING, ELECTRONIC AND AUTOMATION CONTROL CONFERENCE (ITNEC), 2017, : 797 - 801
  • [48] Generation and circuit implementation of multi-scroll chaotic attractors with controllable direction
    Luo Xiaowen
    Wang Chunhua
    APPLIED SCIENCE, MATERIALS SCIENCE AND INFORMATION TECHNOLOGIES IN INDUSTRY, 2014, 513-517 : 4559 - 4562
  • [49] Novel two-directional grid multi-scroll chaotic attractors based on the Jerk system
    丁鹏飞
    冯晓毅
    吴成茂
    Chinese Physics B, 2020, 29 (10) : 625 - 633
  • [50] Hopfield neural network with multi-scroll attractors and application in image encryption
    Hu, Zhenhua
    Wang, Chunhua
    MULTIMEDIA TOOLS AND APPLICATIONS, 2023, 83 (1) : 97 - 117