On the set of periods for the Morse-Smale diffeomorphisms on the disc with N holes

Juan Luis García Guirao; Jaume Llibre

doi:https://doi.org/10.1080/10236198.2012.722630

On the set of periods for the Morse-Smale diffeomorphisms on the disc with N holes

Juan Luis García Guirao, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

Let Dn be the two-dimensional disc with n holes. We assume that Dn is compact. For every homological class of Morse-Smale diffeomorphisms on Dn without periodic points in its boundary, we provide an algorithm for characterizing its minimal set of Lefschetz periods. We give the complete classification of these sets of periods for. The main tool used for this characterization is the Lefschetz zeta function. © 2013 Copyright Taylor and Francis Group, LLC.

Original language	English
Pages (from-to)	1161-1173
Journal	Journal of Difference Equations and Applications
Volume	19
Issue number	7
DOIs	https://doi.org/10.1080/10236198.2012.722630
Publication status	Published - 1 Jul 2013

Keywords

Lefschetz number
Morse-Smale diffeomorphism
disc with n holes
minimal set of Lefschetz periods
periodic point

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abstract = "Let Dn be the two-dimensional disc with n holes. We assume that Dn is compact. For every homological class of Morse-Smale diffeomorphisms on Dn without periodic points in its boundary, we provide an algorithm for characterizing its minimal set of Lefschetz periods. We give the complete classification of these sets of periods for. The main tool used for this characterization is the Lefschetz zeta function. {\textcopyright} 2013 Copyright Taylor and Francis Group, LLC.",

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AU - Llibre, Jaume

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N2 - Let Dn be the two-dimensional disc with n holes. We assume that Dn is compact. For every homological class of Morse-Smale diffeomorphisms on Dn without periodic points in its boundary, we provide an algorithm for characterizing its minimal set of Lefschetz periods. We give the complete classification of these sets of periods for. The main tool used for this characterization is the Lefschetz zeta function. © 2013 Copyright Taylor and Francis Group, LLC.

AB - Let Dn be the two-dimensional disc with n holes. We assume that Dn is compact. For every homological class of Morse-Smale diffeomorphisms on Dn without periodic points in its boundary, we provide an algorithm for characterizing its minimal set of Lefschetz periods. We give the complete classification of these sets of periods for. The main tool used for this characterization is the Lefschetz zeta function. © 2013 Copyright Taylor and Francis Group, LLC.

KW - Lefschetz number

KW - Morse-Smale diffeomorphism

KW - disc with n holes

KW - minimal set of Lefschetz periods

KW - periodic point

U2 - https://doi.org/10.1080/10236198.2012.722630

DO - https://doi.org/10.1080/10236198.2012.722630

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SN - 1023-6198

VL - 19

SP - 1161

EP - 1173

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 7

ER -

On the set of periods for the Morse-Smale diffeomorphisms on the disc with N holes

Abstract

Keywords

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