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Comparing Periodic Orbits of Maps of the Interval

โœ Scribed by C. Bernhardt, E. Coven, M. Misiurewicz and I. Mulvey


Book ID
125702473
Publisher
American Mathematical Society
Year
1992
Tongue
English
Weight
854 KB
Volume
333
Category
Article
ISSN
0002-9947

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โœ Nigel Bird; Franco Vivaldi ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 733 KB
On Periodic Orbits of Trapezoid Maps
โœ S.J. Doi ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 467 KB

Iterations of a special one-dimensional map (trapezoid map) which is a piecewise linear map with a flat top are studied. Using a symbolic dynamical method, it is shown that the stable periodic orbits of the map are characterized as finite shift maximal sequences in the sense extended by Sun and Helm