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
  • [41] Analysis and circuit implementation of fractional-order memristive hyperchaotic system with enhanced memory
    Qiu, Le
    Li, Sai
    Xiong, Tao
    Wang, Liheng
    Ding, Zhixia
    PHYSICA SCRIPTA, 2025, 100 (02)
  • [42] Initial boosting phenomenon of a fractional-order hyperchaotic system based on dual memristors
    Ding, Dawei
    Shan, Xiangyu
    Jun, Luo
    Hu, Yongbin
    Yang, Zongli
    Ding, Lianghui
    MODERN PHYSICS LETTERS B, 2020, 34 (17):
  • [43] A new image encryption algorithm based on the fractional-order hyperchaotic Lorenz system
    王震
    黄霞
    李玉霞
    宋晓娜
    Chinese Physics B, 2013, 22 (01) : 124 - 130
  • [44] Cryptanalysis of an image encryption algorithm based on the fractional-order hyperchaotic Lorenz system
    Xu, Ming
    ICIC Express Letters, Part B: Applications, 2015, 6 (11): : 2957 - 2962
  • [45] Hyperchaotic Fractional-Order Systems and Their Applications
    Elsaid, Ahmed
    Torres, Delfim F. M.
    Bhalekar, Sachin
    Elsadany, Abdelalim
    Elsonbaty, Amr
    COMPLEXITY, 2017,
  • [46] Topological horseshoe analysis and circuit realization for a fractional-order Lu system
    Jia, Hong-Yan
    Chen, Zeng-Qiang
    Qi, Guo-Yuan
    NONLINEAR DYNAMICS, 2013, 74 (1-2) : 203 - 212
  • [47] A novel fractional-order hyperchaotic complex system and its synchronization
    金孟鑫
    孙克辉
    贺少波
    ChinesePhysicsB, 2023, 32 (06) : 187 - 196
  • [48] Generalized projective synchronization of the fractional-order Chen hyperchaotic system
    Wu, Xiangjun
    Lu, Yang
    NONLINEAR DYNAMICS, 2009, 57 (1-2) : 25 - 35
  • [49] Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application
    Tan, Wen
    Jiang, Feng Ling
    Huang, Chuang Xia
    Zhou, Lan
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [50] A fractional-order CNN hyperchaotic system for image encryption algorithm
    Wang, Yanzhang
    Yang, Feifei
    PHYSICA SCRIPTA, 2021, 96 (03)