New research reveals how systems predict future outcomes with precision.
The article explores how non-autonomous and random dynamical systems have forward attractors that show what happens in the distant future. These attractors may not be unique and can be affected by noise and time changes. The researchers found that these random forward attractors can be constructed by looking back in time within a certain set. They also discovered an alternative object that acts like an invariant attractor under specific conditions, even if forward attractors don't exist. This object resembles a known type of attractor but doesn't require the system to be defined in the distant past.