PRIME PERIODS AND SNAP-BACK REPELLERS FOR UNOMODAL FUNCTIONS

被引：0
|
作者：
陈亮
机构：
[1] Chengdu Branch of Academia Sinica
[2] Institute of Mathematics
来源：
Science Bulletin | 1985年 / 09期
关键词：
PRIME PERIODS AND SNAP-BACK REPELLERS FOR UNOMODAL FUNCTIONS;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The results in [2] and [3] show that both the prime period and the snap-back repeller of a one-dimensional map imply the chaotic phenomenon. However, how about the relation between prime periods and snap-back repellers? The discussion on this topic has been seldom seen so far. The aim of this paper is to prove the following fact for the unimodal function f:I→I on the closed interval I=[a,b]
引用
收藏
页码：1151 / 1153
页数：3
相关论文
共 50 条
  • [1] Snap-back repellers in non-smooth functions
    Gardini, L.
    Tramontana, F.
    REGULAR & CHAOTIC DYNAMICS, 2010, 15 (2-3): : 237 - 245
  • [2] Snap-back repellers in non-smooth functions
    L. Gardini
    F. Tramontana
    Regular and Chaotic Dynamics, 2010, 15 : 237 - 245
  • [3] Snap-back repellers and chaotic attractors
    Gardini, Laura
    Tramontana, Fabio
    PHYSICAL REVIEW E, 2010, 81 (04):
  • [4] Chaos induced by regular snap-back repellers
    Shi, Yuming
    Yu, Pei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (02) : 1480 - 1494
  • [5] A simple Proof for persistence of snap-back repellers
    Li, Ming-Chia
    Lyu, Ming-Jiea
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 352 (02) : 669 - 671
  • [6] SNAP-BACK REPELLERS IMPLY CHAOS IN RN
    MAROTTO, FR
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 63 (01) : 199 - 223
  • [7] Chaos for implicit difference equations with snap-back repellers
    Chen, Hung-Ju
    Li, Ming-Chia
    Lin, Shi-Xuan
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (02) : 180 - 191
  • [8] Critical homoclinic orbits lead to snap-back repellers
    Gardini, Laura
    Sushko, Iryna
    Avrutin, Viktor
    Schanz, Michael
    CHAOS SOLITONS & FRACTALS, 2011, 44 (06) : 433 - 449
  • [9] Border collision bifurcations, snap-back repellers, and chaos
    Glendinning, Paul
    Wong, Chi Hong
    PHYSICAL REVIEW E, 2009, 79 (02)
  • [10] Snap-back repellers and scrambled sets in general topological spaces
    Boyarsky, A
    Góra, P
    Lioubimov, V
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (05) : 591 - 604
12345