Catatonia was a medical condition where an individual became unaware of the world outside themselves.
After creating the Daleks, Davros was rejected by them as their leader and they tried to kill him. (TV: Genesis of the Daleks) However, though his primary life support was knocked out by their attack, Davros's undetected secondary life support system spared him from death and slowly healed his wounds while he went into a catatonic state in the interim. (TV: Destiny of the Daleks)
The flood of irrationality that was released by the Carnival Queen's return drove Matheson Catcher into a catatonic state. After the Queen's re-banishment, he was found in the forest outside Woodwicke. He was taken to Richmond Hospital, where he remained a patient and never recovered. (PROSE: Christmas on a Rational Planet)
To stop the Shift's manipulation of the attendees at the auction of the Relic, the Eighth Doctor deliberately put himself into a catatonic state, trapping the Shift inside his mind. (PROSE: Alien Bodies)
At least one Special Weapons Dalek was among the insane Daleks contained in the Dalek Asylum planet. It appeared to be one of the inactive and/or catatonic of the Dalek inmates. (TV: Asylum of the Daleks)