A new simple 2-D piecewise linear map

被引：0
|
作者：
Zeraoulia Elhadj
Julien Clinton Sprott
机构：
[1] University of Tébessa,Department of Mathematics
[2] University of Wisconsin,Department of Physics
来源：
Journal of Systems Science and Complexity | 2010年 / 23卷
关键词：
Border collision bifurcation; new chaotic attractor; piecewise linear map;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new simple piecewise linear map of the plane is presented and analyzed, then a detailed study of its dynamical behaviour is described, along with some other dynamical phenomena, especially fixed points and their stability, observation of a new chaotic attractors obtained via border collision bifurcation. An important result about coexisting chaotic attractors is also numerically studied and discussed.
引用
收藏
页码：379 / 389
页数：10
相关论文
共 50 条
  • [41] On the asymmetry in the PSD for 2-D linear prediction
    Odendaal, JW
    Barnard, E
    Pistorius, CWI
    SIGNAL PROCESSING, 1997, 60 (01) : 43 - 49
  • [42] INVERTIBILITY OF 2-D LINEAR-SYSTEMS
    KACZOREK, T
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1992, 3 (04) : 341 - 351
  • [43] The linear θ method for 2-D elastodynamic BE analysis
    G. Yu
    W. J. Mansur
    J. A. M. Carrer
    Computational Mechanics, 1999, 24 : 82 - 89
  • [44] Stability analysis of linear 2-D systems
    Liu, Tao
    SIGNAL PROCESSING, 2008, 88 (08) : 2078 - 2084
  • [45] 2-D or not 2-D?
    Rao, SS
    FORBES, 1999, 164 (12): : 234 - 234
  • [46] 2-D linear phase frequency sampling filters and 2-D linear phase frequency sampling filters with fourfold symmetry
    Stubberud, PA
    ISCAS 96: 1996 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - CIRCUITS AND SYSTEMS CONNECTING THE WORLD, VOL 2, 1996, : 356 - 359
  • [47] Perception of Fundamental Values and Financial Market Dynamics: Mathematical Insights from a 2D Piecewise Linear Map
    Gardini, Laura
    Radi, Davide
    Schmitt, Noemi
    Sushko, Iryna
    Westerhoff, Frank
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2022, 21 (04): : 2314 - 2337
  • [48] Constructing piecewise linear homeomorphisms of simple polygons
    Gupta, H
    Wenger, R
    JOURNAL OF ALGORITHMS, 1997, 22 (01) : 142 - 157
  • [49] Analytic results for the diffusion coefficient of a piecewise linear map
    Tseng, HC
    Chen, HJ
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1996, 10 (15): : 1913 - 1934
  • [50] Deterministic stochastic resonance in a piecewise linear chaotic map
    Sinha, S
    Chakrabarti, BK
    PHYSICAL REVIEW E, 1998, 58 (06): : 8009 - 8012
12345