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Chaos on the Interval (Paperback) (Sylvie Ruette)

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Ruette explores dynamical systems given by the iteration of a continuous map on an interval. These systems have been broadly studied because they are simple but exhibit complex behaviors, she says, and allow numerical simulations using a computer or even a pocket calculator that reveal some chaotic phenomena. After setting out notations and basic tools, she covers links between transitivity, mixing, and sensitivity; periodic points; topological entropy; chaos in the sense of Li-Yorke scrambled sets; other notions related to Li-Yorke pairs: generic and dense chaos, distributed chaos; and chaotic subsystems. The material is suitable for graduate students and researchers with a background in real analysis, topology, and some linear algebra. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)
Number of Pages: 215
Genre: Mathematics
Series Title: University Lecture Series
Format: Paperback
Publisher: Amer Mathematical Society
Author: Sylvie Ruette
Language: English
Street Date: April 21, 2017
TCIN: 52483965
UPC: 9781470429560
Item Number (DPCI): 248-46-1439
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