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Periodic Orbits of Continuous Mappings of the Circle

โœ Scribed by Louis Block


Book ID
125695553
Publisher
American Mathematical Society
Year
1980
Tongue
English
Weight
999 KB
Volume
260
Category
Article
ISSN
0002-9947

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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