Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles

被引：7

作者：

Llibre, J ^{[1
]}

Todd, M

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

[2] Univ Surrey, Dept Math, Surrey GU2 7XH, England

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2005年 / 11卷 / 12期

关键词：

Lefschetz numbers; periodic points; graph maps; topological entropy;

D O I：

10.1080/10236190500331230

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider some smooth maps on a bouquet of circles. For these maps we can compute the number of fixed points, the existence of periodic points and an exact formula for topological entropy. We use Lefschetz fixed point theory and actions of our maps on both the fundamental group and the first homology group.

引用

页码：1049 / 1069

页数：21

共 50 条

[1] PERIODS FOR CONTINUOUS SELF-MAPS OF A BOUQUET OF CIRCLES
LLIBRE, J
SA, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 318 (11): : 1035 - 1040
[2] Periods for holomorphic maps via Lefschetz numbers
Llibre, Jaume
Todd, Michael
ABSTRACT AND APPLIED ANALYSIS, 2005, (06) : 575 - 579
[3] Periods for transversal maps via Lefschetz numbers for periodic points
Guillamon, A
Jarque, X
Llibre, J
Ortega, J
Torregrosa, J
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (12) : 4779 - 4806
[4] Lefschetz numbers for continuous maps, and periods for expanding maps on infra-nilmanifolds
Lee, Jong Bum
Lee, Kyung Bai
JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (10) : 2011 - 2023
[5] AVERAGING LEFSCHETZ NUMBERS OF MAPS
SCHOLZ, K
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (01): : A216 - &
[6] THE LEFSCHETZ NUMBERS OF ITERATED MAPS
DUAN, HB
TOPOLOGY AND ITS APPLICATIONS, 1995, 67 (01) : 71 - 79
[7] On topological entropy, Lefschetz numbers and Lefschetz zeta functions
Llibre, Jaume
Sirvent, Victor F.
TOPOLOGY AND ITS APPLICATIONS, 2019, 268
[8] Lefschetz Numbers for Maps of Fiber Spaces
Artamonov, D. V.
MATHEMATICAL NOTES, 2008, 84 (5-6) : 601 - 614
[9] Generalized Lefschetz numbers for equivariant maps
Marzantowicz, W
Prieto, C
OSAKA JOURNAL OF MATHEMATICS, 2002, 39 (04) : 821 - 841
[10] Lefschetz numbers for maps of fiber spaces
D. V. Artamonov
Mathematical Notes, 2008, 84 : 601 - 614

← 1 2 3 4 5 →