Some extensions of the Poincaré–Birkhoff theorem to the cylinder and a remark on mappings of the torus homotopic to Dehn twists-Reference-Cited by-同舟云学术

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Some extensions of the Poincaré–Birkhoff theorem to the cylinder and a remark on mappings of the torus homotopic to Dehn twists

Published:2005-07-08 Issue:5 Volume:18 Page:2243-2260
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Addas-Zanata Salvador

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Reference33 articles.

1. On the existence of a new type of periodic and quasi-periodic orbits for twist maps of the torus

2. On the stability of some periodic orbits of a new type for twist maps

3. On properties of the vertical rotation interval for twist mappings

4. Combinatorial Proofs of the Conley-Zehnder-Franks Theorem on a Fixed Point for Torus Homeomorphisms

Cited by 7 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. Transitivity and the existence of horseshoes on the 2-torus;Nonlinearity;2022-12-08

2. Homoclinic orbits for area preserving diffeomorphisms of surfaces;Ergodic Theory and Dynamical Systems;2021-05-04

3. Prime ends rotation numbers and periodic points;Duke Mathematical Journal;2015-02-15

4. Area-preserving diffeomorphisms of the torus whose rotation sets have non-empty interior;Ergodic Theory and Dynamical Systems;2013-08-13

5. Dynamics of homeomorphisms of the torus homotopic to Dehn twists;Ergodic Theory and Dynamical Systems;2012-04

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