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An example of a map which is $C^2$-robustly transitive but not $C^1$-robustly transitive

Volume 152 / 2018

Jorge Iglesias, Aldo Portela Colloquium Mathematicum 152 (2018), 285-297 MSC: Primary 37D20; Secondary 37D30. DOI: 10.4064/cm7131-5-2017 Published online: 9 March 2018

Abstract

We exhibit an example of an endomorphism of $\mathbb {T}^{2}$ which is $C^2$-robustly transitive but not $C^1$-robustly transitive.

Authors

  • Jorge IglesiasIMERL
    Facultad de Ingeniería
    Universidad de La República
    Julio Herrera y Reissig 565, C.P. 11300
    Montevideo, Uruguay
    e-mail
  • Aldo PortelaIMERL
    Facultad de Ingeniería
    Universidad de La República
    Julio Herrera y Reissig 565, C.P. 11300
    Montevideo, Uruguay
    e-mail

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