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

页码：1275 / 1281

页数：7

共 50 条

[1] PROCEEDINGS OF THE CONFERENCE 30 YEARS AFTER SHARKOVSKII THEOREM - NEW PERSPECTIVES - HELD IN MURCIA, SPAIN JUNE 13-18, 1994
ALSEDA, L
BALIBREA, F
LLIBRE, J
MISIUREWICZ, M
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1995, 5 (05): : 1261 - 1261
[2] The Sharkovskii Theorem for spaces of measurable functions
Barbarski, Pawel
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (02) : 414 - 421
[3] A simple special case of Sharkovskii's theorem
Barton, R
Burns, K
AMERICAN MATHEMATICAL MONTHLY, 2000, 107 (10): : 932 - 933
[4] A version of Sharkovskii's theorem for differential equations
Andres, J
Pastor, K
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (02) : 449 - 453
[5] SHARKOVSKII'S THEOREM, DIFFERENTIAL INCLUSIONS, AND BEYOND
Andres, Jan
Furst, Tomas
Pastor, Karel
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2009, 33 (01) : 149 - 168
[6] Sharkovskii's theorem for connectivity Gδ-relations
Andres, Jan
Snyrychova, Pavla
Szuca, Piotr
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (08): : 2377 - 2393
[7] Sharkovskii's theorem holds for some discontinuous functions
Szuca, P
FUNDAMENTA MATHEMATICAE, 2003, 179 (01) : 27 - 41
[8] DEFINING CHAOS IN THE LOGISTIC MAP BY SHARKOVSKII'S THEOREM
Lee, M. Howard
ACTA PHYSICA POLONICA B, 2013, 44 (05): : 925 - 935
[9] X-minimal patterns and a generalization of Sharkovskii's theorem
Bobok, J
Kuchta, M
FUNDAMENTA MATHEMATICAE, 1998, 156 (01) : 33 - 66
[10] Before 30 years and after 30 years
Shimizu, Jiro
SEN-I GAKKAISHI, 2006, 62 (01) : P2 - P9

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