1) Attach 2) Become fixed 3) Become obsessed 4) Become preoccupied 5) Bind 6) Bond 7) Focus intently 8) Focus obsessively 9) Focus the eyes on 10) Make stationary 11) Obsess 12) To fix 13) To stare fixedly at something 14) Used with on 1) Obsess 2) Preoccupy 
stare at 
[v] - attach (oneself) to a person or thing in a neurotic way 2. [v] - pay attention to exclusively and obsessively 3. [v] - make fixed, stable or stationary 4. [v] - become fixed (on)
fixate 1. To pay attention to exclusively and obsessively. 2. To attach (oneself) to a person or thing in a neurotic way. 3. To be totally obsessed or preoccupied with somebody or something.
verb make fixed, stable or stationary; `let`s fix the picture to the frame`settle on verb become fixed (on); `Her eyes fixated on a point on the horizon`