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.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 297 (1986), 587-604
- MSC: Primary 58F20; Secondary 26A18, 54C70, 54H20
- DOI: https://doi.org/10.1090/S0002-9947-1986-0854086-8
- MathSciNet review: 854086