Stratification of continuous maps of an interval

Block, L. S.; Coppel, W. A.

doi:10.1090/S0002-9947-1986-0854086-8

Stratification of continuous maps of an interval
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by L. S. Block and W. A. Coppel PDF

Trans. Amer. Math. Soc. 297 (1986), 587-604 Request permission

Abstract:

We define the motion of turbulence for a continuous map of an interval into the line and study its relation with periodic and homoclinic points. We define also strongly simple orbits and show, in particular, that they represent periodic orbits with minimum entropy. Further results are obtained for unimodal maps with negative Schwarzian, which sharpen recent results of Block and Hart.

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