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Jun 12, 2020 at 16:36 answer added Vaughn Climenhaga timeline score: 3
Jun 10, 2020 at 19:55 comment added Abdelmalek Abdesselam Try the book "Iterated Maps on the Interval as Dynamical Systems" by Collet and Eckmann. springer.com/gp/book/9780817649265
S Jun 10, 2020 at 17:14 history suggested Adam CC BY-SA 4.0
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Jun 10, 2020 at 17:04 answer added Adam timeline score: 8
Jun 10, 2020 at 16:00 review Suggested edits
S Jun 10, 2020 at 17:14
May 29, 2020 at 21:59 comment added Gerry Myerson It's possible that for some of what you want there are no theorems, just numerical evidence.
May 29, 2020 at 19:44 comment added J.Mayol @GerryMyerson thank you. In fact I already encountred books where some "parts" of the proof are given, but never the difficult parts (intervals where chaos occurs, or when chaos disappear). It is really strange that there no theorem of the form "for $r \in I_1$ then [...] occurs, for $r \in I_2$ then [...] occurs, etc.".
May 29, 2020 at 10:44 comment added Gerry Myerson Saber N. Elaydi's textbook, Discrete Chaos, goes into some detail about this map. Whether you'll consider it to be the "full extent", I don't know.
May 29, 2020 at 6:57 history edited J.Mayol CC BY-SA 4.0
deleted 5 characters in body
May 29, 2020 at 6:31 history asked J.Mayol CC BY-SA 4.0