Definition:Attractor

Definition
Let $S$ be a dynamical system in a space $X$.

Let $T$ be an iterative mapping in $S$:
 * $x_{n + 1} = \map T {x_n}$

An attractor is an invariant set $A$ in $X$ towards which nearby points $x$ converge, that is:


 * $T \sqbrk A = A$
 * $x_n = \map {T^n} x$ approaches $A$ as $n$ increases for points close to $A$.

Also see

 * Definition:Strange Attractor
 * Definition:Hénon Attractor
 * Definition:Lorenz Attractor


 * Definition:Repellor