ERGODIC PROPERTIES OF THE DISCONTINUOUS SAWTOOTH MAP

被引：21
|
作者：
VAIENTI, S [1 ]
机构：
[1] UNIV SO CALIF,DEPT MATH,LOS ANGELES,CA 90089
来源：
JOURNAL OF STATISTICAL PHYSICS | 1992年 / 67卷 / 1-2期
关键词：
ERGODICITY; STABLE AND UNSTABLE MANIFOLDS; SINAI-CHERNOV THEORY; HOPFS CHAIN;
D O I：
10.1007/BF01049033
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove the ergodicity for the discontinuous sawtooth map, adapting a technique previously used in billiard theory. The core of the proof is the construction of a Hopf chain passing through a countable dense set of discontinuity lines.
引用
收藏
页码：251 / 269
页数：19
相关论文
共 50 条
  • [31] Multistability of Hopfield neural networks with a designed discontinuous sawtooth-type activation function
    Liu, Yang
    Huang, Xia
    Li, Yuxia
    Shen, Hao
    NEUROCOMPUTING, 2021, 455 : 189 - 201
  • [32] OBSERVING ERGODIC TRANSLATIONS ON COMPACT ABELIAN-GROUPS WITH DISCONTINUOUS FUNCTIONS
    DRAGER, LD
    FOOTE, RL
    MCMAHON, D
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 1989, 6 (04) : 441 - 463
  • [33] TECTONOPHYSICS MAP OF DISCONTINUOUS DEFORMATION OF RYBNIK REGION
    Glogowska, Magdalena
    Warzecha, Robert
    STUDIA GEOTECHNICA ET MECHANICA, 2016, 38 (02) : 29 - 35
  • [34] NONSMOOTH AND SMOOTH BIFURCATIONS IN A DISCONTINUOUS PIECEWISE MAP
    Qin Zhiying
    Zhao Yuejing
    Yang Jichen
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (05):
  • [35] A multiple devil's staircase in a discontinuous map
    Qu, SX
    Wu, SG
    He, DR
    PHYSICS LETTERS A, 1997, 231 (3-4) : 152 - 158
  • [36] ACCUMULATION AND BIFURCATION POINTS OF THE DISCONTINUOUS LOGISTIC MAP
    CHIA, TT
    TAN, BL
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1995, 50 (07): : 677 - 683
  • [37] Poincare Map for Discontinuous Fractional Differential Equations
    Eliasova, Ivana
    Feckan, Michal
    MATHEMATICS, 2022, 10 (23)
  • [38] ONE-DIMENSIONAL DYNAMICS FOR A DISCONTINUOUS MAP
    ALEXANIAN, M
    PHYSICA A, 1992, 181 (1-2): : 53 - 68
  • [39] Accumulation and bifurcation points of the discontinuous logistic map
    Chia, T. T.
    Tan, B. L.
    Zeitschrift fuer Naturforschung. Section A: Physical Sciences, 1995, 50 (07):
  • [40] LUROTH SERIES AND THEIR ERGODIC PROPERTIES
    JAGER, H
    DEVROEDT, C
    PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1969, 72 (01): : 31 - &
12345