A Note on the Periodic Structure of Transversal Maps on the Torus and Products of Spheres-Reference-Cited by-同舟云学术

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A Note on the Periodic Structure of Transversal Maps on the Torus and Products of Spheres

Published:2020-02-12 Issue:1 Volume:19 Page:
ISSN:1575-5460
Container-title:Qualitative Theory of Dynamical Systems
language:en
Short-container-title:Qual. Theory Dyn. Syst.

Author:

Sirvent Víctor F.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

http://link.springer.com/content/pdf/10.1007/s12346-020-00356-7.pdf

Reference23 articles.

1. Babenko, I.K., Bogatyi, S.A.: The behaviour of the index of periodic points under iterations of a mapping. Math. USSR Izv. 38, 1–26 (1992)

2. Berrizbeitia, P., González, M.J., Sirvent, V.F.: On the Lefschetz zeta function and the minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms on products of $$\ell $$-spheres. Topol. Appl. 235, 428–444 (2018)

3. Brown, R.F.: The Lefschetz Fixed Point Theorem. Scott, Foresman and Company, Glenview (1971)

4. Casasayas, J., Llibre, J., Nunes, A.: Periodic orbits of transversal maps. Math. Proc. Camb. Philos. Soc. 118, 161–181 (1995)

5. Dold, A.: Fixed point indices of iterated maps. Invent. Math. 74, 419–435 (1983)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Generalized Dold Sequences on Partially-Ordered Sets;The Electronic Journal of Combinatorics;2022-02-11

2. Periodic structure of the transversal maps on surfaces;Journal of Fixed Point Theory and Applications;2021-11

3. On the Lefschetz Zeta Function for a Class of Toral Maps;Qualitative Theory of Dynamical Systems;2021-02-05

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