Dense Set of Negative Schwarzian Maps Whose Critical Points Have Minimal Limit Sets

نویسنده

  • Alexander Blokh
چکیده

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.

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تاریخ انتشار 2008