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

• We study $C^2$-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 $\omega$-limit set of the critical point is minimal.
Mathematics Subject Classification: 58F03, 58F10.

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