Proving chaotic behaviour of CBC mode of operation
  The cipher block chaining (CBC) block cipher mode of operation was invented by IBM (International Business Machine) in 1976. It presents a very popular way of encrypting which is used in various applications. In this paper, we have mathematically proven that, under some conditions, the CBC mode of operation can admit a chaotic behaviour according to Devaney. Some cases will be properly studied in order to put in evidence this idea. 
Abdessalem Abidi and Qianxue Wang and Belgacem Bouallegue and Mohsen   Machhout and Christophe Guyeux
cs.CR math.DS