Fixpoint Attractor
Slide__Jb7oAKOfEd-WfYQ0GneCwQ_subTitle=To understand chaotic dynamics, its comparison with simpler types of motion is useful. The simplest possible motions are rest or uniformflow.
A dynamical system may approach such an equilibrium or stationary state along spiral trajectories, for example (figure). It retreats this way to a point in the space at it's disposal, as if this point would exert an attracting force - therefore the name attractor
. Here, space
is not necessarily a position space
\: Every independent quantity of the system (a temperature, for example) may be a coordinate of the phase space.
The figure shows how a system that lives
in two dimensions (the plane) becomes finally zero-dimensional (the point).
Source\: Vienna Technical University