-
Previous Article
$C^{\alpha}$-Hölder classical solutions for non-autonomous neutral differential equations
- DCDS Home
- This Issue
-
Next Article
Dynamics and abstract computability: Computing invariant measures
Expansive homeomorphisms of the plane
1. | Instituto de Matemática y Estadística "Prof. Ing. Rafael Laguardia”, Facultad de Ingeniería, Julio Herrera y Reissig 565 11300, MONTEVIDEO, Uruguay |
References:
[1] |
L. Brouwer, Beweis des ebenen Translationssatzes, Math. Ann., 72 (1912), 37-54.
doi: doi:10.1007/BF01456888. |
[2] |
A. Fathi, F. Laudenbach and V. Poenaru, Travaux de Thurston sur les surfaces (Seminaire Orsay), Asterisque, 1979, 66-67. |
[3] |
J. Franks, A new proof of the Brouwer plane translation theorem, Ergod. Th. and Dynamic. Sys., 12 (1991), 217-226. |
[4] |
Jorge Groisman, "Expansive Homeomorphisms of the Plane," Ph.D thesis, Universidad de la República in Uruguay, 2007. |
[5] |
K. Hiraide, Expansive homeomorphisms of compact surfaces are pseudo-Anosov, Osaka J. Math., 27 (1990), 117-162. |
[6] |
K. Kuratowski, "Topology," Academic Press, New York London, 1966. |
[7] |
J. Lewowicz, Expansive homeomorphisms of surfaces, Bol. Soc. Bras. Mat., 20 (1989), Fasc. 1, 113-133. |
[8] |
W. Thurston, On the geometry dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.), 19 (1988), 417-431. |
show all references
References:
[1] |
L. Brouwer, Beweis des ebenen Translationssatzes, Math. Ann., 72 (1912), 37-54.
doi: doi:10.1007/BF01456888. |
[2] |
A. Fathi, F. Laudenbach and V. Poenaru, Travaux de Thurston sur les surfaces (Seminaire Orsay), Asterisque, 1979, 66-67. |
[3] |
J. Franks, A new proof of the Brouwer plane translation theorem, Ergod. Th. and Dynamic. Sys., 12 (1991), 217-226. |
[4] |
Jorge Groisman, "Expansive Homeomorphisms of the Plane," Ph.D thesis, Universidad de la República in Uruguay, 2007. |
[5] |
K. Hiraide, Expansive homeomorphisms of compact surfaces are pseudo-Anosov, Osaka J. Math., 27 (1990), 117-162. |
[6] |
K. Kuratowski, "Topology," Academic Press, New York London, 1966. |
[7] |
J. Lewowicz, Expansive homeomorphisms of surfaces, Bol. Soc. Bras. Mat., 20 (1989), Fasc. 1, 113-133. |
[8] |
W. Thurston, On the geometry dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.), 19 (1988), 417-431. |
[1] |
Mauricio Achigar. Extensions of expansive dynamical systems. Discrete and Continuous Dynamical Systems, 2021, 41 (7) : 3093-3108. doi: 10.3934/dcds.2020399 |
[2] |
Jorge Groisman. Expansive and fixed point free homeomorphisms of the plane. Discrete and Continuous Dynamical Systems, 2012, 32 (5) : 1709-1721. doi: 10.3934/dcds.2012.32.1709 |
[3] |
Alfonso Artigue. Anomalous cw-expansive surface homeomorphisms. Discrete and Continuous Dynamical Systems, 2016, 36 (7) : 3511-3518. doi: 10.3934/dcds.2016.36.3511 |
[4] |
Alfonso Artigue. Lipschitz perturbations of expansive systems. Discrete and Continuous Dynamical Systems, 2015, 35 (5) : 1829-1841. doi: 10.3934/dcds.2015.35.1829 |
[5] |
Lidong Wang, Hui Wang, Guifeng Huang. Minimal sets and $\omega$-chaos in expansive systems with weak specification property. Discrete and Continuous Dynamical Systems, 2015, 35 (3) : 1231-1238. doi: 10.3934/dcds.2015.35.1231 |
[6] |
El Houcein El Abdalaoui, Sylvain Bonnot, Ali Messaoudi, Olivier Sester. On the Fibonacci complex dynamical systems. Discrete and Continuous Dynamical Systems, 2016, 36 (5) : 2449-2471. doi: 10.3934/dcds.2016.36.2449 |
[7] |
Lianfa He, Hongwen Zheng, Yujun Zhu. Shadowing in random dynamical systems. Discrete and Continuous Dynamical Systems, 2005, 12 (2) : 355-362. doi: 10.3934/dcds.2005.12.355 |
[8] |
Fritz Colonius, Marco Spadini. Fundamental semigroups for dynamical systems. Discrete and Continuous Dynamical Systems, 2006, 14 (3) : 447-463. doi: 10.3934/dcds.2006.14.447 |
[9] |
John Erik Fornæss. Sustainable dynamical systems. Discrete and Continuous Dynamical Systems, 2003, 9 (6) : 1361-1386. doi: 10.3934/dcds.2003.9.1361 |
[10] |
Vieri Benci, C. Bonanno, Stefano Galatolo, G. Menconi, M. Virgilio. Dynamical systems and computable information. Discrete and Continuous Dynamical Systems - B, 2004, 4 (4) : 935-960. doi: 10.3934/dcdsb.2004.4.935 |
[11] |
Mădălina Roxana Buneci. Morphisms of discrete dynamical systems. Discrete and Continuous Dynamical Systems, 2011, 29 (1) : 91-107. doi: 10.3934/dcds.2011.29.91 |
[12] |
Josiney A. Souza, Tiago A. Pacifico, Hélio V. M. Tozatti. A note on parallelizable dynamical systems. Electronic Research Announcements, 2017, 24: 64-67. doi: 10.3934/era.2017.24.007 |
[13] |
Philippe Marie, Jérôme Rousseau. Recurrence for random dynamical systems. Discrete and Continuous Dynamical Systems, 2011, 30 (1) : 1-16. doi: 10.3934/dcds.2011.30.1 |
[14] |
Tobias Wichtrey. Harmonic limits of dynamical systems. Conference Publications, 2011, 2011 (Special) : 1432-1439. doi: 10.3934/proc.2011.2011.1432 |
[15] |
Światosław R. Gal, Jarek Kędra. On distortion in groups of homeomorphisms. Journal of Modern Dynamics, 2011, 5 (3) : 609-622. doi: 10.3934/jmd.2011.5.609 |
[16] |
Yejuan Wang, Chengkui Zhong, Shengfan Zhou. Pullback attractors of nonautonomous dynamical systems. Discrete and Continuous Dynamical Systems, 2006, 16 (3) : 587-614. doi: 10.3934/dcds.2006.16.587 |
[17] |
Alexander Sakhnovich. Dynamical canonical systems and their explicit solutions. Discrete and Continuous Dynamical Systems, 2017, 37 (3) : 1679-1689. doi: 10.3934/dcds.2017069 |
[18] |
Bernd Aulbach, Martin Rasmussen, Stefan Siegmund. Approximation of attractors of nonautonomous dynamical systems. Discrete and Continuous Dynamical Systems - B, 2005, 5 (2) : 215-238. doi: 10.3934/dcdsb.2005.5.215 |
[19] |
Jérôme Rousseau, Paulo Varandas, Yun Zhao. Entropy formulas for dynamical systems with mistakes. Discrete and Continuous Dynamical Systems, 2012, 32 (12) : 4391-4407. doi: 10.3934/dcds.2012.32.4391 |
[20] |
Giuseppe Gaeta. On the geometry of twisted prolongations, and dynamical systems. Discrete and Continuous Dynamical Systems - S, 2020, 13 (4) : 1209-1227. doi: 10.3934/dcdss.2020070 |
2020 Impact Factor: 1.392
Tools
Metrics
Other articles
by authors
[Back to Top]