STABLE, ALMOST STABLE AND ODD POINTS OF DYNAMICAL SYSTEMS

被引:2
作者
Pawlak, Ryszard J. [1 ]
Loranty, Anna [1 ]
机构
[1] Univ Lodz, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland
关键词
continuity; Darboux function; autonomous (nonautonomous) discrete dynamical system; (almost) stable point; odd point; ENTROPY;
D O I
10.1017/S0004972717000272
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider stable and almost stable points of autonomous and nonautonomous discrete dynamical systems defined on the closed unit interval. Our considerations are associated with chaos theory by adding an additional assumption that an entropy of a function at a given point is infinite.
引用
收藏
页码:245 / 255
页数:11
相关论文
共 18 条
  • [1] Alseda L., 2016, SPRINGER P MATH STAT, V180
  • [2] Bruckner A. M., 1965, JAHRESBER DTSCH MATH, V67, P93
  • [3] Global stability of periodic orbits of non-autonomous difference equations and population biology
    Elaydi, S
    Sacker, RJ
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 208 (01) : 258 - 273
  • [4] Kolyada S., 1996, Random and Computational Dynamics, V4, P205
  • [5] Korczak-Kubiak E., 2014, TATRA MT MATH PUBL, V58, P77
  • [6] On Focusing Entropy at a Point
    Korczak-Kubiak, Ewa
    Loranty, Anna
    Pawlak, Ryszard J.
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (05): : 1117 - 1137
  • [7] ON LOCAL PROBLEM OF ENTROPY FOR FUNCTIONS FROM ZAHORSKI CLASSES
    Korczak-Kubiak, Ewa
    Loranty, Anna
    Pawlak, Ryszard J.
    [J]. REAL FUNCTIONS '15: MEASURE THEORY, REAL FUNCTIONS, GENERAL TOPOLOGY, 2016, 65 : 23 - 35
  • [8] Recent Development of Chaos Theory in Topological Dynamics
    Li, Jian
    Ye, Xiang Dong
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 32 (01) : 83 - 114
  • [9] ON SOME SETS OF ALMOST CONTINUOUS FUNCTIONS WHICH LOCALLY APPROXIMATE A FIXED FUNCTION
    Loranty, Anna
    Pawlak, Ryszard J.
    [J]. REAL FUNCTIONS '15: MEASURE THEORY, REAL FUNCTIONS, GENERAL TOPOLOGY, 2016, 65 : 105 - 118
  • [10] Non-autonomous periodic systems with Allee effects
    Luis, Rafael
    Elaydi, Saber
    Oliveira, Henrique
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2010, 16 (10) : 1179 - 1196