A note on positive Lyapunov exponent and sensitive dependence on initial conditions

被引:0
|
作者
Demir, B [1 ]
Koçak, S [1 ]
机构
[1] Anadolu Univ, Dept Math, TR-26470 Eskisehir, Turkey
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note, we give two examples of discrete dynamics (Functions) on intervals C R, the first having a positive Lyapunov exponent at a point but not being sensitive-dependent on initial conditions at that point; and the second being sensitive-dependent on initial conditions at a point but having a negative Lyapunov exponent at that point. (C) 2001 Elsevier Science Ltd. Ah rights reserved.
引用
收藏
页码:2119 / 2121
页数:3
相关论文
共 50 条
  • [21] SENSITIVE DEPENDENCE ON INITIAL CONDITIONS AND CHAOTIC GROUP ACTIONS
    Polo, Fabrizio
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (08) : 2815 - 2826
  • [22] POSITIVE LYAPUNOV EXPONENT OF DISCRETE ANALYTIC JACOBI OPERATOR
    Tao, Kai
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [23] Sensitive dependence on initial conditions: metabolism in porcine hemorrhagic shock
    Pokorney, Kristin Marie
    Lexcen, Daniel R.
    Lusczek, Elizabeth E. R.
    Determan, Charles E.
    Witowski, Nancy E.
    Mulier, Kristine E.
    Beilman, Gregory J.
    JOURNAL OF THE AMERICAN COLLEGE OF SURGEONS, 2013, 217 (03) : S55 - S56
  • [24] Geodesic deviation equation in perception of the sensitive dependence on initial conditions
    Dobrowolski, T
    PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, : 101 - 108
  • [25] Sensitive dependence on initial conditions in transition to turbulence in pipe flow
    Faisst, H
    Eckhardt, B
    JOURNAL OF FLUID MECHANICS, 2004, 504 : 343 - 352
  • [26] On the sensitive dependence on initial conditions of the dynamics of networks of spiking neurons
    Banerjee, Arunava
    JOURNAL OF COMPUTATIONAL NEUROSCIENCE, 2006, 20 (03) : 321 - 348
  • [27] IS SENSITIVE DEPENDENCE ON INITIAL CONDITIONS NATURE'S SENSORY DEVICE?
    Brown, Ray
    Chua, Leon
    Popp, Becky
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (01): : 193 - 199
  • [28] On the sensitive dependence on initial conditions of the dynamics of networks of spiking neurons
    Arunava Banerjee
    Journal of Computational Neuroscience, 2006, 20 : 321 - 348
  • [29] Structured scale dependence in the Lyapunov exponent of a Boolean chaotic map
    Cohen, Seth D.
    PHYSICAL REVIEW E, 2015, 91 (04):
  • [30] An estimation of the first positive Lyapunov exponent of the EEG in patients with schizophrenia
    Kim, DJ
    Jeong, J
    Chae, JH
    Park, S
    Kim, SY
    Go, HJ
    Paik, IH
    Kim, KS
    Choi, B
    PSYCHIATRY RESEARCH-NEUROIMAGING, 2000, 98 (03) : 177 - 189