We show that the non-uniformly hyperbolic horseshoes of Palis and Yoccoz occur in the standard family of area-preserving diffeomorphisms of the two-torus.

Received: 2017-12-14
Accepted: 2017-12-22
Published online: 2018-01-09
DOI: 10.1016/j.crma.2017.12.012

@article{CRMATH_2018__356_2_146_0,
     author = {Carlos Matheus and Carlos Gustavo Moreira and Jacob Palis},
     title = {Non-uniformly hyperbolic horseshoes in the standard family},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {146--149},
     publisher = {Elsevier},
     volume = {356},
     number = {2},
     year = {2018},
     doi = {10.1016/j.crma.2017.12.012},
     language = {en},
}

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Carlos Matheus; Carlos Gustavo Moreira; Jacob Palis. Non-uniformly hyperbolic horseshoes in the standard family. Comptes Rendus. Mathématique, Volume 356 (2018) no. 2, pp. 146-149. doi : 10.1016/j.crma.2017.12.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.12.012/