Generation and circuit implementation of fractional-order multi-scroll attractors

被引：40
|
作者：
Chen, Liping [1 ]
Pan, Wei [1 ]
Wu, Ranchao [2 ]
Wang, Kunpeng [3 ,4 ]
He, Yigang [1 ]
机构：
[1] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Peoples R China
[2] Anhui Univ, Sch Math, Hefei 230039, Peoples R China
[3] Southwest Univ Sci & Technol, Sch Informat & Engn, Mianyang 621010, Peoples R China
[4] Robot Technol Used Special Environm Key Lab Sichu, Mianyang 621010, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2016年 / 85卷
关键词：
Fractional order; Multi-scroll; Circuit implementation; Chaos; CHAOTIC ATTRACTORS; SYSTEM;
D O I：
10.1016/j.chaos.2016.01.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper considers the generating of multi-scroll chaotic attractors for a new fractional-order linear system by using the piecewise-linear function. Multi-scroll chaotic attractors are generated by extending the number of saddle equilibrium points with index 2. Poincare map and maximum Lyapunov exponents are applied to verifying the chaotic behaviors of the generated multi-scroll chaotic attractors. A circuit for the multi-scroll attractor is designed and simulated. Moreover, physical experiment of 3-scroll attractors and 5-scroll attractors are implemented. The numerical simulation, the circuit simulation and hardware experimental results are in accordance with each other, which verifies the effectiveness and physical realization of the approach. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：22 / 31
页数：10
相关论文
共 50 条
  • [31] 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
  • [32] 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
  • [33] SYNCHRONIZATION AND STABILIZATION OF MULTI-SCROLL INTEGER AND FRACTIONAL ORDER CHAOTIC ATTRACTORS GENERATED USING TRIGONOMETRIC FUNCTIONS
    Xu, Fei
    Yu, Pei
    Liao, Xiaoxin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (08):
  • [34] Design of fractional-order hyper-chaotic multi-scroll systems based on hysteresis series
    Chen, Liping
    Pan, Wei
    Tenreiro Machado, J. A.
    Lopes, Antnio M.
    Wu, Ranchao
    He, Yigang
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2017, 226 (16-18): : 3775 - 3789
  • [35] A Piecewise Linear Approach for Implementing Fractional-Order Multi-Scroll Chaotic Systems on ARMs and FPGAs
    Clemente-Lopez, Daniel
    Munoz-Pacheco, Jesus M.
    Zambrano-Serrano, Ernesto
    Beltran, Olga G. Felix
    Rangel-Magdaleno, Jose de Jesus
    FRACTAL AND FRACTIONAL, 2024, 8 (07)
  • [36] Design of fractional-order hyper-chaotic multi-scroll systems based on hysteresis series
    Liping Chen
    Wei Pan
    J. A. Tenreiro Machado
    António M. Lopes
    Ranchao Wu
    Yigang He
    The European Physical Journal Special Topics, 2017, 226 : 3775 - 3789
  • [37] Circuit implementation and model of a new multi-scroll chaotic system
    Chen, Diyi
    Sun, Zaitao
    Ma, Xiaoyi
    Chen, Lei
    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2014, 42 (04) : 407 - 424
  • [38] A family of hyperchaotic multi-scroll attractors in Rn
    Ontanon-Garcia, L. J.
    Jimenez-Lopez, E.
    Campos-Canton, E.
    Basin, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 233 : 522 - 533
  • [39] Generating multi-scroll chaotic attractors by thresholding
    Lu, Jinhu
    Murali, K.
    Sinha, Sudeshna
    Leung, Henry
    Aziz-Alaoui, M. A.
    PHYSICS LETTERS A, 2008, 372 (18) : 3234 - 3239
  • [40] Circuit implementation for generating three-dimensional multi-scroll chaotic attractors via triangular wave series
    Yu, SM
    ACTA PHYSICA SINICA, 2005, 54 (04) : 1500 - 1509
12345