fixate

Verb (4)

1. attach (oneself) to a person or thing in a neurotic way“He fixates on his mother, even at the age of 40”
2. pay attention to exclusively and obsessively“The media are fixating on Princess Diana's death”
3. make fixed, stable or stationary“let's fix the picture to the frame”Synonyms: fix
4. become fixed (on)“Her eyes fixated on a point on the horizon”Synonyms: settle on