The Collaborative International Dictionary of English v.0.48:

Babylonic \Bab`y*lon"ic\, Babylonical \Bab`y*lon"ic*al\, a.
   1. Pertaining to Babylon, or made there; as, Babylonic
      garments, carpets, or hangings.
      [1913 Webster]

   2. Tumultuous; disorderly. [Obs.] --Sir J. Harrington.
      [1913 Webster]