The Weierstrass function of chaos map with exact solution

被引：3
|
作者：
Kawamoto, S
Tsubata, T
机构：
[1] Department of Electrical and Electronic Systems, Osaka Prefecture University
[2] Liquid Crystal Display Group, Sharp Corporation
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1997年 / 66卷 / 08期
关键词：
chaos; fractal; Weierstrass function; logistic map; bifurcation;
D O I：
10.1143/JPSJ.66.2209
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that the Weierstrass function: which gives a fractal curve: can be
引用
收藏
页码：2209 / 2210
页数：2
相关论文
共 50 条
  • [1] Nonlinear differential equations with exact solutions expressed via the Weierstrass function
    Kudryashov, NA
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2004, 59 (7-8): : 443 - 454
  • [2] FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS: THE EXACT BOX DIMENSION
    Zhou Songping Institute of Mathematics Zhejiang Institute of Sciences and TechnologyHangzhou 310018P. R. ChinaYao Kui and Su Weiyi Department of Mathematics Nanjing University Nanjing 210093 P. R. China
    AnalysisinTheoryandApplications, 2004, (04) : 332 - 341
  • [3] Identification of chaos in fractional chaotic map
    Ran, Jie
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [4] Bifurcation and Chaos in the Logistic Map with Memory
    Alonso-Sanz, Ramon
    Carlos Losada, Juan
    Porras, Miguel A.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (12):
  • [5] Identification of chaos in fractional chaotic map
    Jie Ran
    Advances in Difference Equations, 2020
  • [6] Bifurcation and chaos of a new discrete fractional-order logistic map
    Ji, YuanDong
    Lai, Li
    Zhong, SuChuan
    Zhang, Lu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 57 : 352 - 358
  • [7] CHAOS AND FRACTALS IN C-K MAP
    Wang, Xing-Yuan
    Liang, Qing-Yong
    Meng, Juan
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2008, 19 (09): : 1389 - 1409
  • [8] Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions
    Qiu, Yue
    Liang, Yongshun
    FRACTAL AND FRACTIONAL, 2025, 9 (03)
  • [9] Exact devaney chaos and entropy
    Kwietniak D.
    Misiurewicz M.
    Qualitative Theory of Dynamical Systems, 2005, 6 (1) : 169 - 179
  • [10] Generating Signals with Multiscale Time Irreversibility: The Asymmetric Weierstrass Function
    Burykin, Anton
    Costa, Madalena D.
    Peng, Chung-Kang
    Goldberger, Ary L.
    Buchman, Timothy G.
    COMPLEXITY, 2011, 16 (04) : 29 - 38
12345