There are several synonyms for the phrase "characterized by disorder." One such synonym is chaotic, which implies a lack of organization or structure. Another synonym is disordered, which refers to something that is not arranged in a logical or systematic way. Cluttered is another word that can describe a situation or environment that is disorderly, often referring to a space filled with too many objects. Haphazard also describes a situation that lacks order or planning, while shambolic implies a state of disarray or confusion. All of these synonyms suggest a lack of control or direction, and can be used to describe a variety of situations, from physical spaces to mental processes.