Wordnet 3.0
ADVERB (2)
1. 
 in a wild and confused manner; 
- Example: "the drugged man was talking chaotically"2. 
 in a manner suggestive of chaos; 
- Example: "the room was chaotically disorganized"
The Collaborative International Dictionary of English v.0.48:
Chaotically \Cha*ot"ic*al*ly\, adv.
   In a chaotic manner.
   [1913 Webster]
WordNet (r) 3.0 (2006):
chaotically
    adv 1: in a wild and confused manner; "the drugged man was
           talking chaotically"
    2: in a manner suggestive of chaos; "the room was chaotically
       disorganized"
Moby Thesaurus II by Grady Ward, 1.0:
28 Moby Thesaurus words for "chaotically":
   aimlessly, anarchically, capriciously, confusedly, dispersedly,
   erratically, every which way, helter-skelter, higgledy-piggledy,
   impulsively, inconsistently, inconstantly, irregularly,
   licentiously, nonuniformly, planlessly, riotously, senselessly,
   spasmodically, sporadically, turbulently, unequally, unevenly,
   unsteadily, unsystematically, ununiformly, vaguely, wanderingly