On $n$ numbers on a circle

Andrzej Schinzel (1) , Michal Misiurewicz (1)

1 Institute of Mathematics [Warsaw]

Let $[a_1(0),\ldots,a_n(0)]$ be a real vector; define recursively $a_i(t+1)=|a_i(t)-a_{(i+1)}(t)|$. This paper is devoted to the study of $[a_1(t),\ldots,a_n(t)]$ for $t$ tending to infinity.

Mots clés: circle; periodic orbits

Domaines: Mathématiques [math]

Andrzej Schinzel, Michal Misiurewicz. On $n$ numbers on a circle. Hardy-Ramanujan Journal, 1988, Volume 11 - 1988, pp.30 - 39. ⟨10.46298/hrj.1988.105⟩. ⟨hal-01104323⟩