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
  • [1] RIGOROUS DIFFUSION PROPERTIES FOR THE SAWTOOTH MAP
    BELLISSARD, J
    VAIENTI, S
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 144 (03) : 521 - 536
  • [2] Ergodic properties of the Belykh map
    Sataev E.A.
    Journal of Mathematical Sciences, 1999, 95 (5) : 2564 - 2575
  • [3] ERGODIC PROPERTIES OF THE LOZI MAP
    LEVY, Y
    LECTURE NOTES IN MATHEMATICS, 1985, 1109 : 103 - 116
  • [4] Triangle Map and Its Ergodic Properties
    Horvat, Martin
    LET'S FACE CHAOS THROUGH NONLINEAR DYNAMICS, 2008, 1076 : 90 - 93
  • [5] On ergodic and mixing properties of the triangle map
    Horvat, Martin
    Degli Esposti, Mirko
    Isola, Stefano
    Prosen, Tomaz
    Bunimovich, Leonid
    PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (04) : 395 - 415
  • [6] The ergodic properties and the structure of strange attractor in Lauwerier map
    Cao, YL
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 1998, 14 : 585 - 592
  • [7] Coupled map lattices: Some topological and ergodic properties
    Bunimovich, LA
    PHYSICA D, 1997, 103 (1-4): : 1 - 17
  • [8] SEMICLASSICAL THEORY OF THE SAWTOOTH MAP
    LAKSHMINARAYAN, A
    PHYSICS LETTERS A, 1994, 192 (5-6) : 345 - 354
  • [9] CANTORI SPECTRA FOR THE SAWTOOTH MAP
    BARTUCCELLI, M
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1991, 13 (10): : 1299 - 1311
  • [10] RESONANCES AND TRANSPORT IN THE SAWTOOTH MAP
    CHEN, Q
    DANA, I
    MEISS, JD
    MURRAY, NW
    PERCIVAL, IC
    PHYSICA D, 1990, 46 (02): : 217 - 240
12345