30 YEARS AFTER SHARKOVSKII THEOREM

被引：8
作者：
MISIUREWICZ, M
机构：
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1995年 / 5卷 / 05期
关键词：
D O I：
10.1142/S0218127495000946
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Thirty years ago Sharkovskii's theorem was published. This started a new branch of dynamical systems - combinatorial dynamics. I will try to summarize briefly its developments and current trends.
引用
收藏
页码：1275 / 1281
页数：7
相关论文
共 44 条
[1]   PERIODS AND ENTROPY FOR LORENZ-LIKE MAPS [J].
ALSEDA, L ;
LLIBRE, J ;
MISIUREWICZ, M ;
TRESSER, C .
ANNALES DE L INSTITUT FOURIER, 1989, 39 (04) :929-952
[2]   NO DIVISION AND THE SET OF PERIODS FOR TREE MAPS [J].
ALSEDA, L ;
YE, XD .
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1995, 15 :221-237
[3]   LINEAR-ORDERINGS AND THE FULL PERIODICITY KERNEL FOR THE N-STAR [J].
ALSEDA, L ;
MORENO, JM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 180 (02) :599-616
[4]   PERIODIC-ORBITS OF MAPS OF-Y [J].
ALSEDA, L ;
LLIBRE, J ;
MISIUREWICZ, M .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 313 (02) :475-538
[5]  
ALSEDA L, 1994, ENTROPY TRANSITIVE T
[6]  
ALSEDA L, 1993, ADV SERIES NONLINEAR, V5
[7]   lower bounds of the topological entropy for continuous maps of the circle of degree one [J].
Alseda, Lluis ;
Llibre, Jaume ;
Manosas, Francesc ;
Misiurewicz, Michat .
NONLINEARITY, 1988, 1 (03) :463-479
[8]   AN EXTENSION OF SARKOVSKII THEOREM TO THE N-OD [J].
BALDWIN, S .
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1991, 11 :249-271
[9]   GENERALIZATIONS OF A THEOREM OF SARKOVSKII ON ORBITS OF CONTINUOUS REAL-VALUED FUNCTIONS [J].
BALDWIN, S .
DISCRETE MATHEMATICS, 1987, 67 (02) :111-127
[10]  
BALDWIN S, 1993, POSSIBLE SETS PERIOD
12345