Robust Transitivity for Endomorphisms

  title={Robust Transitivity for Endomorphisms},
  author={C. J. R. Lizana and Enrique Pujals},
We address the problem about under what conditions an endomorphism having a dense orbit, verifies that a sufficiently close perturbed map also exhibits a dense orbit. In this direction, we give sufficient conditions, that cover a large class of examples, for endomorphisms on the n−dimensional torus to be robustly transitive: the endomorphism must be volume expanding and any large connected arc must contain a point such that its future orbit belong to an expanding region. 


Publications referenced by this paper.
Showing 1-10 of 27 references


  • John Franks. Necessary conditions for stability of diff Amer
  • Soc., 158:301–308,
  • 1971
Highly Influential
4 Excerpts

Ergodic Theory and Dynamical Systems

  • Enrique R. Pujals, Martin Sambarino. A sufficient condition for robustly min foliations
  • 26(01):281–289,
  • 2006
Highly Influential
3 Excerpts


  • Christian Bonatti, J Lorenzo
  • Persistent nonhyperbolic transitive…
  • 1996
Highly Influential
5 Excerpts


  • C. Bonatti
  • J. Dı́az, and E. R. Pujals. A C1-generic…
  • 2003
Highly Influential
3 Excerpts

PhD thesis

  • Cristina Lizana. Robust Transitivity for Endomorphisms
  • IMPA,
  • 2010

Pujals and Martin Sambarino . A sufficient condition for robustly minimal foliations

  • R Enrique
  • Handbook of dynamical systems
  • 2006


  • Todd Fisher. Hyperbolic sets that are not locally maxim Dynam
  • 26(5):1491–1509,
  • 2006
1 Excerpt

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