Keywords
- Real Line
- Characteristic Polynomial
- Periodic Point
- Rotation Number
- Topological Entropy
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
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J. Guckenheimer-Bifurcations of maps of the interval, Inventiones Math. 39, 165–178, 1977.
L. Jonker, D. A. Rand-A lower bound for the entropy of certain maps of the unit interval, Preprint, University of Warwick.
J. Milnor, P. Thurston-Kneading Theory, Preprint, Princeton.
M. Misiurewicz, W. Szlenk-Entropy of piecewise monotone mappings. Studia Math. 67, to appear.
A. N. Šarkovskii-Coexistence of cycles of a continuous map of a line into itself, Ukr. Mat. Z. 16, 61–71, 1964.
P. Štefan-A theorem of Šarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line, Comm. Math. Phys. 54, 237–248, 1977.
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© 1980 Springer-Verlag
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Block, L., Guckenheimer, J., Misiurewicz, M., Young, L.S. (1980). Periodic points and topological entropy of one dimensional maps. In: Nitecki, Z., Robinson, C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics, vol 819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086977
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DOI: https://doi.org/10.1007/BFb0086977
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10236-6
Online ISBN: 978-3-540-38312-3
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