ON THE DYNAMICS OF A NEW SIMPLE 2-D RATIONAL DISCRETE MAPPING

被引：16
|
作者：
Elhadj, Zeraoulia [1 ]
Sprott, J. C. [2 ]
机构：
[1] Univ Tebessa, Dept Math, Tebessa 12002, Algeria
[2] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 01期
关键词：
Rational chaotic map; quasi-periodic route to chaos; coexisting attractors; CHAOTIC SYSTEM; FRACTION;
D O I：
10.1142/S0218127411028325
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to the analysis of a new simple rational map of the plane. Its dynamics are described in some detail, along with some other dynamical phenomena. In particular, the map under consideration is the first simple rational map whose fraction has no vanishing denominator that gives chaotic attractors via a quasi-periodic route to chaos.
引用
收藏
页码：155 / 160
页数：6
相关论文
共 50 条
  • [41] A SIMPLE STABILITY TEST FOR 2-D SYSTEMS
    ANTONIOU, GE
    VAROUFAKIS, SJ
    PARASKEVOPOULOS, PN
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (07): : 972 - 974
  • [42] SCATTERING IN A SIMPLE 2-D LATTICE MODEL
    GATTRINGER, CR
    HIP, I
    LANG, CB
    [J]. NUCLEAR PHYSICS B, 1993, : 875 - 878
  • [43] A 2-D systolic array for high-throughput computation of 2-D discrete fourier transform
    Meher, P. K.
    Patra, J. C.
    Vinod, A. P.
    [J]. 2006 IEEE ASIA PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS, 2006, : 1927 - +
  • [44] NEW SYSTOLIC ARRAY IMPLEMENTATION OF THE 2-D DISCRETE COSINE TRANSFORM AND ITS INVERSE
    CHANG, YT
    WANG, CL
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY, 1995, 5 (02) : 150 - 157
  • [45] Hyperstability of 2-D discrete systems with variable coefficients
    Aly, GM
    Mahgoub, H
    Zakzouk, E
    ElAssar, M
    [J]. CONTROL AND COMPUTERS, 1996, 24 (02): : 48 - 53
  • [46] Quadratic stabilization of discrete interval 2-D systems
    Liu Zhengyu
    Han Hanghong
    Zhang Li
    Guo Qijun
    [J]. PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 3, 2007, : 696 - +
  • [47] An algebraic analysis approach to 2-D discrete problems
    Przeworska-Rolewicz, D
    Wysocki, H
    [J]. CONTROL AND CYBERNETICS, 2001, 30 (02): : 149 - 158
  • [48] On the scalability of 2-D discrete wavelet transform algorithms
    Fridman, J
    Manolakos, ES
    [J]. MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1997, 8 (1-2) : 185 - 217
  • [49] Robust stability of discrete interval 2-D systems
    Yang, Yang
    Pan, Kai
    [J]. Kongzhi yu Juece/Control and Decision, 2019, 34 (07): : 1497 - 1500
  • [50] Fast algorithms for the 2-D discrete W transform
    Bi, GA
    [J]. SIGNAL PROCESSING, 1999, 74 (03) : 297 - 308
12345