Continuous detrended cross-correlation analysis on generalized Weierstrass function

被引:0
|
作者
Xiaojun Zhao
Pengjian Shang
Jingjing Huang
机构
[1] School of Science,Department of Mathematics
[2] Beijing Jiaotong University,undefined
[3] School of Science,undefined
[4] Beijing Information Science Technology University,undefined
来源
关键词
Statistical and Nonlinear Physics;
D O I
暂无
中图分类号
学科分类号
摘要
The paper mainly introduces a continuous detrended cross-correlation analysis method to detect the long-range fractal scaling behaviors of continuous and integrable functions. The effects of such method are tested by the generalized Weierstrass function with various seeds. It presents accurate scaling characterization as desired by comparing with that from the popular detrended cross-correlation analysis method of discrete case.
引用
收藏
相关论文
共 50 条
  • [1] Continuous detrended cross-correlation analysis on generalized Weierstrass function
    Zhao, Xiaojun
    Shang, Pengjian
    Huang, Jingjing
    EUROPEAN PHYSICAL JOURNAL B, 2013, 86 (02):
  • [2] Detrended cross-correlation analysis of electroencephalogram
    王俊
    赵大庆
    Chinese Physics B, 2012, 21 (02) : 589 - 592
  • [3] Detrended cross-correlation analysis of electroencephalogram
    Wang Jun
    Zhao Da-Qing
    CHINESE PHYSICS B, 2012, 21 (02)
  • [4] Extended detrended cross-correlation analysis of electrocorticograms
    A. A. Koronovskii
    I. A. Blokhina
    O. N. Pavlova
    O. V. Semyachkina-Glushkovskaya
    A. N. Pavlov
    The European Physical Journal Special Topics, 2023, 232 : 605 - 608
  • [5] Extended detrended cross-correlation analysis of electrocorticograms
    Koronovskii, A. A., Jr.
    Blokhina, I. A.
    Pavlova, O. N.
    Semyachkina-Glushkovskaya, O., V
    Pavlov, A. N.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2023, 232 (05): : 605 - 608
  • [6] Detrended cross-correlation analysis consistently extended to multifractality
    Oswiecimka, Pawel
    Drozdz, Stanislaw
    Forczek, Marcin
    Jadach, Stanislaw
    Kwapien, Jaroslaw
    PHYSICAL REVIEW E, 2014, 89 (02):
  • [7] Multifractal detrended cross-correlation analysis in the MENA area
    El Alaoui, Marwane
    Benbachir, Saad
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (23) : 5985 - 5993
  • [8] Using Detrended Cross-Correlation Analysis in geophysical data
    Marinho, E. B. S.
    Sousa, A. M. Y. R.
    Andrade, R. F. S.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (09) : 2195 - 2201
  • [9] Windowed detrended cross-correlation analysis of synchronization processes
    Roume, C.
    Almurad, Z. M. H.
    Scotti, M.
    Ezzina, S.
    Blain, H.
    Delignieres, D.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 503 : 1131 - 1150
  • [10] Extended detrended cross-correlation analysis of nonstationary processes
    Pavlov, A. N.
    Pavlova, O. N.
    Koronovskii, A. A., Jr.
    Guyo, G. A.
    CHAOS SOLITONS & FRACTALS, 2022, 157