Memory Principle of the MATLAB Code for Lyapunov Exponents of Fractional-Order

被引:2
作者
Danca, Marius-F. [1 ,2 ]
Feckan, Michal [3 ,4 ]
机构
[1] Bebes Bolyai Univ, STAR UBB Inst, Cluj Napoca, Romania
[2] Romanian Inst Sci & Technol, Cluj Napoca, Romania
[3] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava, Slovakia
[4] Math Inst Slovak Acad Sci, Bratislava, Slovakia
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2024年 / 34卷 / 12期
关键词
Impulsive fractional differential equations; memory principle; fixed lower limit; changing lower limit; Lyapunov exponent; MATLAB code;
D O I
10.1142/S0218127424501566
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper presents two representative classes of Impulsive Fractional Differential Equations defined with generalized Caputo's derivative, with fixed lower limit and changing lower limit, respectively. Memory principle is studied and numerical examples are considered. The problem of the memory principle of the MATLAB code for Lyapunov exponents of fractional-order systems [Danca & Kuznetsov, 2018] is analyzed.
引用
收藏
页数:11
相关论文
共 50 条
  • [41] Novel Fractional-Order Chaotic System Applied to Mobile Robot Path Planning and Chaotic Path Synchronization
    Cui, Yan
    Zheng, Zexi
    SYMMETRY-BASEL, 2025, 17 (03):
  • [42] 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)
  • [43] Dynamic analysis of seven-dimensional fractional-order chaotic system and its application in encrypted communication
    Peng, ZhiWei
    Yu, WenXin
    Wang, JunNian
    Wang, Jing
    Chen, Yu
    He, XianKe
    Jiang, Dan
    JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING, 2020, 11 (11) : 5399 - 5417
  • [44] Dynamic analysis of seven-dimensional fractional-order chaotic system and its application in encrypted communication
    ZhiWei Peng
    WenXin Yu
    JunNian Wang
    Jing Wang
    Yu Chen
    XianKe He
    Dan Jiang
    Journal of Ambient Intelligence and Humanized Computing, 2020, 11 : 5399 - 5417
  • [45] Non-uniqueness of solution for non-instantaneous impulsive Hilfer-Hadamard fractional-order system
    Zhang, Xianmin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (03) : 1130 - 1144
  • [46] Dynamical Investigation, Electronic Circuit Realization and Emulation of a Fractional-Order Chaotic Three-Echelon Supply Chain System
    Ding, Qing
    Abba, Oumate Alhadji
    Jahanshahi, Hadi
    Alassafi, Madini O.
    Huang, Wen-Hua
    MATHEMATICS, 2022, 10 (04)
  • [47] A novel fractional-order 3-D chaotic system and its application to secure communication based on chaos synchronization
    Iqbal, Sajad
    Wang, Jun
    PHYSICA SCRIPTA, 2025, 100 (02)
  • [48] On configuring new choatic behaviours for a variable fractional-order memristor-based circuit in terms of Mittag-Leffler kernel
    Chu, Yu-Ming
    Rashid, Saima
    Asif, Qurat Ul Ain
    Abdalbagi, Mohammed
    RESULTS IN PHYSICS, 2023, 53
  • [49] 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
  • [50] Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form
    Sara Dadras
    Hamid Reza Momeni
    Guoyuan Qi
    Zhong-lin Wang
    Nonlinear Dynamics, 2012, 67 : 1161 - 1173