  The properties of a cognitive, self-propelled, and self-steering particle in
the presence of a stationary target are analyzed theoretically and by
simulations. In particular, the effects of confinement in competition with
activity and steering are addressed. The pursuer is described as an intelligent
active Ornstein-Uhlenbeck particle (iAOUP), confined in a harmonic potential.
For the free pursuer, we find universal scaling regimes for the pursuer-target
distance in terms of the Peclet number and maneuverability. Steering results in
a novel constant mean-distance regime, which broadens with increasing
maneuverability. Confinement strongly affects the propulsion direction and
leads to a scaling at large Peclet numbers similar to that in absence of
confinement, yet with a pronounced dependence on confinement strength.
