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Need to explain why it's called a "tent map."

In mathematics, the tent map is an iterated function, in the shape of a tent

That's not a good-enough explanation? linas 14:37, 25 October 2005 (UTC)[reply]

If you plot versus , it has two linear sections which rise to meet at [1/2,μ/2] - it looks like a tent.

If , both values apply. Which is correct? ☢ Ҡieff⌇↯ 11:49, 4 February 2006 (UTC)[reply]

Yes, the function appears to have two values when , but the values coincide - they are both . However, I have changed the definition in the article to avoid confusion. Gandalf61 15:41, 4 February 2006 (UTC)[reply]

There really ought to be a picture of the defining function right at the beginning of the article.

Done. Gandalf61 12:23, 21 December 2006 (UTC)[reply]

What is an 'orbit'. The article just uses this term without explaining it. 09:37, 15 March 2013 (UTC) — Preceding unsigned comment added by 217.156.133.130 (talk)

See orbit (dynamics) and orbit (group theory). In this case, the orbit of a point is the set of images of that point under repeated iterations of the tent map. So the orbit of 0 is {0}, whereas the orbit of 1 is {1,0}. Periodic and eventually periodic points have finite orbits; non-periodic points have infinite orbits. Gandalf61 (talk) 12:42, 15 March 2013 (UTC)[reply]

The sentence "The mu=2 case of the tent map is a non-linear transformation of both the bit shift map and the r = 4 case of the logistic map." is not saying anything. The precise statement that was intended, conjugation, would say something. Otherwise, nearly every other function is also a non-linear transformation of the tent map. 2607:F2C0:E9E9:FFC0:1895:CC49:1A14:A8CD (talk) 20:18, 9 April 2025 (UTC)[reply]