Chaos in two-dimensional mappings

被引：0
|
作者：
Zhou, JY [1 ]
机构：
[1] Peking Univ, Dept Math, Beijing 100871, Peoples R China
来源：
PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2 | 2000年 / 7卷
关键词：
Chaos; Taylor Mappings and Generalized Taylor Mappings;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we discuss the existence of chaotic behavior of 2-dimensional mappings, A version of Moser's theorem is given. As the applications of our discussion, it is proved that the mapping: u = alphax + Sigma (n)(k=1) A(k)sin k ( x + y) v = x + y possesses a shift a of double infinite sequences as a subsystem, if the parameter A(k) > (1+alpha)pi (2)/n for k = 1,..., n. This result is an improvement of the known works.
引用
收藏
页码：919 / 927
页数：9
相关论文
共 50 条
  • [1] LOCAL ORDER AND ONSET OF CHAOS FOR A FAMILY OF TWO-DIMENSIONAL DISSIPATIVE MAPPINGS
    BRAMBILLA, R
    CASARTELLI, M
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1985, 88 (02): : 102 - 113
  • [2] DIFFUSION IN TWO-DIMENSIONAL MAPPINGS
    LICHTENBERG, AJ
    LIEBERMAN, MA
    PHYSICA D-NONLINEAR PHENOMENA, 1988, 33 (1-3) : 211 - 239
  • [3] Two-dimensional solvable chaos
    Sogo, Kiyoshi
    Masumizu, Atsushi
    PHYSICS LETTERS A, 2011, 375 (40) : 3512 - 3516
  • [4] Iterative roots of two-dimensional mappings
    Yu, Zhiheng
    Li, Lin
    Matkowski, Janusz
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2023, 66 (01) : 241 - 258
  • [5] MELNIKOV FUNCTION FOR TWO-DIMENSIONAL MAPPINGS
    GLASSER, ML
    PAPAGEORGIOU, VG
    BOUNTIS, TC
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1989, 49 (03) : 692 - 703
  • [6] Controlling two-dimensional spationtemporal chaos
    Zhao Lizhi
    Yang Shiping
    Tian Gang
    ICEMI 2007: PROCEEDINGS OF 2007 8TH INTERNATIONAL CONFERENCE ON ELECTRONIC MEASUREMENT & INSTRUMENTS, VOL III, 2007, : 465 - +
  • [7] Adiabatic chaos in a two-dimensional mapping
    Vainshtein, DL
    Vasiliev, AA
    Neishtadt, AI
    CHAOS, 1996, 6 (04) : 514 - 518
  • [8] Chaos and information in two-dimensional turbulence
    Clark, Daniel
    Tarra, Lukas
    Berera, Arjun
    PHYSICAL REVIEW FLUIDS, 2020, 5 (06)
  • [9] RELAXATION RATES FOR TWO-DIMENSIONAL DETERMINISTIC MAPPINGS
    HAMILTON, I
    BRUMER, P
    PHYSICAL REVIEW A, 1982, 25 (06): : 3457 - 3459
  • [10] UNIVERSAL EFFECTS OF DISSIPATION IN TWO-DIMENSIONAL MAPPINGS
    ZISOOK, AB
    PHYSICAL REVIEW A, 1981, 24 (03): : 1640 - 1642
12345