Recurrence spectrum in smooth dynamical systems

被引：21
|
作者：
Saussol, B
Wu, J
机构：
[1] Univ Picardie, CNRS, UMR 6140, LAMFA, F-80039 Amiens, France
[2] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China
[3] Wuhan Univ, Nonlinear Sci Ctr, Wuhan 430072, Peoples R China
来源：
NONLINEARITY | 2003年 / 16卷 / 06期
关键词：
D O I：
10.1088/0951-7715/16/6/306
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for conformal expanding maps the return time does have constant multifractal spectrum. This is the counterpart of the result by Feng and Wu in the symbolic setting.
引用
收藏
页码：1991 / 2001
页数：11
相关论文
共 50 条
  • [41] Recurrence of Transitive Points in Dynamical Systems with the Specification Property
    Xiao Yi Wang
    Yu Huang
    Acta Mathematica Sinica, English Series, 2018, 34 : 1879 - 1891
  • [42] Recurrence of Transitive Points in Dynamical Systems with the Specification Property
    Wang, Xiao Yi
    Huang, Yu
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2018, 34 (12) : 1879 - 1891
  • [43] Recurrence of Transitive Points in Dynamical Systems with the Specification Property
    Xiao Yi WANG
    Yu HUANG
    ActaMathematicaSinica, 2018, 34 (12) : 1879 - 1891
  • [44] Poincare Recurrence and Output Reversibility in Linear Dynamical Systems
    Nersesov, Sergey G.
    Haddad, Wassim M.
    Bernstein, Dennis S.
    2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 2587 - 2592
  • [45] Special Issue “Trends in recurrence analysis of dynamical systems”
    Norbert Marwan
    Charles L. Webber
    Andrzej Rysak
    The European Physical Journal Special Topics, 2023, 232 : 1 - 3
  • [46] Measuring nonstationarity by analyzing the loss of recurrence in dynamical systems
    Rieke, C
    Sternickel, K
    Andrzejak, RG
    Elger, CE
    David, P
    Lehnertz, K
    PHYSICAL REVIEW LETTERS, 2002, 88 (24) : 4 - 244102
  • [47] Recurrence times in dynamical systems via a quasicrystal approach
    Twarock, R
    PHYSICS OF PARTICLES AND NUCLEI, 2002, 33 : S114 - S117
  • [48] Special Issue "Trends in recurrence analysis of dynamical systems"
    Marwan, Norbert
    Webber, Charles L.
    Rysak, Andrzej
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2023, 232 (01): : 1 - 3
  • [49] CHAIN RECURRENCE IN DYNAMICAL-SYSTEMS WITHOUT UNIQUENESS
    BRONSTEIN, IU
    KOPANSKII, AY
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1988, 12 (02) : 147 - 154
  • [50] Approximately transitive dynamical systems and simple spectrum
    E. H. el Abdalaoui
    M. Lemańczyk
    Archiv der Mathematik, 2011, 97 : 187 - 197
12345