Solution Analysis of the fractional-order Lu hyperchaotic system Based on Adomian Decomposition

被引:0
|
作者
Lei Tengfei [1 ]
Fu Haiyan [1 ]
Dai Wenpeng [1 ]
Zang Hong-yan [1 ]
机构
[1] Qilu Inst Technol, Collaborat Innovat Ctr Memrist Comp Applicat CICM, Jinan, Peoples R China
关键词
Adomian decomposition; fractional-order chaotic system; style; bifurcation diagram; Lyapunov exponent; CHAOTIC SYSTEMS; SYNCHRONIZATION;
D O I
10.1109/cac48633.2019.8996725
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, fractional-order Lu chaotic system is studied and simulated by Adomian decomposition method. The dynamic behavior of fractional-order chaotic system from Period to chaos is analyzed from bifurcation diagram and Lyapunov exponent spectrum numerical simulation under single parameter variation of the system. The simulation results show that the higher the fractional chaotic Order of system Q, the lower the system complexity. The simulation results provide theoretical support for the application of the system to chaotic secure communication.
引用
收藏
页码:3800 / 3803
页数:4
相关论文
共 50 条
  • [31] Designing synchronization schemes for a fractional-order hyperchaotic system
    Zhang Ruo-Xun
    Yang Shi-Ping
    ACTA PHYSICA SINICA, 2008, 57 (11) : 6837 - 6843
  • [32] Solution and dynamics of a fractional-order 5-D hyperchaotic system with four wings
    Zhang, Limin
    Sun, Kehui
    He, Shaobo
    Wang, Huihai
    Xu, Yixin
    EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (01):
  • [33] Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers
    Li, Tianzeng
    Wang, Yu
    Yang, Yong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [34] Solution and dynamics of a fractional-order 5-D hyperchaotic system with four wings
    Limin Zhang
    Kehui Sun
    Shaobo He
    Huihai Wang
    Yixin Xu
    The European Physical Journal Plus, 132
  • [35] Dynamic analysis of a fractional-order hyperchaotic system and its application in image encryption
    Shi, Qianqian
    An, Xinlei
    Xiong, Li
    Yang, Feifei
    Zhang, Li
    PHYSICA SCRIPTA, 2022, 97 (04)
  • [36] Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms
    Lassoued, Abir
    Boubaker, Olfa
    COMPLEXITY, 2017,
  • [37] Dynamic Analysis of a 10-Dimensional Fractional-Order Hyperchaotic System Using Advanced Hyperchaotic Metrics
    Sarfraz, Muhammad
    Zhou, Jiang
    Islam, Mazhar
    Rasheed, Akhter
    Liu, Qi
    FRACTAL AND FRACTIONAL, 2025, 9 (02)
  • [38] An Optical Image Encryption Algorithm Based on a Fractional-Order Laser Hyperchaotic System
    Li, Xuejun
    Mou, Jun
    Cao, Yinghong
    Santo Banerjee
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (03):
  • [39] A new image encryption algorithm based on the fractional-order hyperchaotic Lorenz system
    Wang Zhen
    Huang Xia
    Li Yu-Xia
    Song Xiao-Na
    CHINESE PHYSICS B, 2013, 22 (01)
  • [40] Harmonic Detection of Power Quality Based on Fractional-Order Memristive Hyperchaotic System
    Li, Bing
    Jia, Meimei
    PROCEEDINGS OF THE 4TH INTERNATIONAL SYMPOSIUM ON NEW ENERGY AND ELECTRICAL TECHNOLOGY, ISNEET 2023, 2024, 1255 : 422 - 428