Stable trajectory of logistic map

被引：0
|
作者：
Chaojie Li
Xiaojun Zhou
David Yang Gao
机构：
[1] University of Ballarat,School of Science, Information Technology and Engineering
来源：
Nonlinear Dynamics | 2014年 / 78卷
关键词：
Logistic map; Duality; Global optimization;
D O I：
暂无
中图分类号：
学科分类号：
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：8
相关论文
共 50 条
  • [21] Dynamics of the kicked logistic map
    Chaos, Solitons and Fractals, 1996, 7 (03):
  • [22] Bifurcations and averages in the logistic map
    Cavalcante, HLDS
    Leite, JRR
    DYNAMICS AND STABILITY OF SYSTEMS, 2000, 15 (01): : 35 - 41
  • [23] Logistic map graph set
    Sun, Haijian
    Liu, Lin
    Guo, Aike
    Computers and Graphics (Pergamon), 1997, 21 (01): : 89 - 103
  • [24] POLYNOMIAL ENTROPY OF THE LOGISTIC MAP
    Peric, Milan
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2021, 58 (02) : 206 - 215
  • [25] RESULTS FOR THE DISCONTINUOUS LOGISTIC MAP
    CHIA, TT
    TAN, BL
    PHYSICAL REVIEW A, 1992, 45 (12): : 8441 - 8449
  • [26] Determinantal solution of the logistic map
    Bruschi, M
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (07): : L153 - L155
  • [27] Dynamics of the kicked logistic map
    Baptista, MS
    Caldas, IL
    CHAOS SOLITONS & FRACTALS, 1996, 7 (03) : 325 - 336
  • [28] On a representation of the Verhulst logistic map
    Rudolph-Lilith, Michelle
    Muller, Lyle E.
    DISCRETE MATHEMATICS, 2014, 324 : 19 - 27
  • [29] Logistic map and Cantor set
    许鹏程
    井竹君
    ProgressinNaturalScience, 1997, (04) : 34 - 39
  • [30] Reservoir computing with logistic map
    Arun, R.
    Aravindh, M. Sathish
    Venkatesan, A.
    Lakshmanan, M.
    PHYSICAL REVIEW E, 2024, 110 (03)
12345