Stable trajectory of logistic map

被引：4
|
作者：
Li, Chaojie [1 ]
Zhou, Xiaojun [1 ]
Gao, David Yang [1 ]
机构：
[1] Univ Ballarat, Sch Sci Informat Technol & Engn, Mt Helen, Vic 3350, Australia
来源：
NONLINEAR DYNAMICS | 2014年 / 78卷 / 01期
关键词：
Logistic map; Duality; Global optimization; CHAOTIC SYSTEMS; LEAST-SQUARES; ALGORITHM;
D O I：
10.1007/s11071-014-1433-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, the stable trajectory of Logistic Map has been investigated by canonical duality theory from the perspective of global optimization. Numerical result of our method shows that it totally differs from traditional chaotic solution solved by Euler method. In addition, we have applied our method to three well-known standard benchmarks in global optimization. Numerical simulations are given to illustrate the effectiveness of the main results.
引用
收藏
页码：209 / 217
页数：9
相关论文
共 50 条
  • [1] Stable trajectory of logistic map
    Chaojie Li
    Xiaojun Zhou
    David Yang Gao
    Nonlinear Dynamics, 2014, 78 : 209 - 217
  • [2] Logistic map trajectory distributions: Renormalization-group, entropy, and criticality at the transition to chaos
    Diaz-Ruelas, A.
    Baldovin, F.
    Robledo, A.
    CHAOS, 2021, 31 (03)
  • [3] On the Periodic Logistic Map
    Cui Ping Li
    Ming Zhao
    Acta Mathematica Sinica, English Series, 2018, 34 : 891 - 900
  • [4] On the Periodic Logistic Map
    Cui Ping LI
    Ming ZHAO
    ActaMathematicaSinica, 2018, 34 (05) : 891 - 900
  • [5] A Shifted Logistic Map
    Buscarino, Arturo
    Fortuna, Luigi
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (01):
  • [6] A DOUBLE LOGISTIC MAP
    GARDINI, L
    ABRAHAM, R
    RECORD, RJ
    FOURNIERPRUNARET, D
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (01): : 145 - 176
  • [7] Seasonality and the logistic map
    Silva, Emily
    Peacock-Lopez, Enrique
    CHAOS SOLITONS & FRACTALS, 2017, 95 : 152 - 156
  • [8] QUANTUM LOGISTIC MAP
    GOGGIN, ME
    SUNDARAM, B
    MILONNI, PW
    PHYSICAL REVIEW A, 1990, 41 (10): : 5705 - 5708
  • [9] Cycles of the Logistic Map
    Zhang, Cheng
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (01):
  • [10] On the Periodic Logistic Map
    Cui Ping LI
    Ming ZHAO
    Acta Mathematica Sinica,English Series, 2018, (05) : 891 - 900
12345