Un-systematically refers to things that are not organized, arranged or done in a specific or structured way. Some synonyms for un-systematically include randomly, haphazardly, chaotically, irregularly, unsystematically and disorganized. These terms refer to the manner in which things are carried out, which suggests a lack of planning, order or organization. Using these synonyms can help you describe or identify situations or actions that appear to be done without any conscious effort or structured thought. These terms are especially useful in writing or communication, as they help to convey a sense of disorder or randomness that might arise in various situations.