Dense set of negative Schwarzian maps whose critical points have minimal limit sets

Academic Article


  • We study C2-structural stability of interval maps with negative Schwarzian. It turns out that for a dense set of maps critical points either have trajectories attracted to attracting periodic orbits or are persistently recurrent. It follows that for any structurally stable unimodal map the ω-limit set of the critical point is minimal.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Blokh A; Misiurewicz M
  • Start Page

  • 141
  • End Page

  • 158
  • Volume

  • 4
  • Issue

  • 1