Chaos synchronization for a class of discrete dynamical systems on the N-dimensional torus |
| |
| Authors: | Lionel Rosier, Gilles Mill rioux,G rard Bloch |
| |
| Affiliation: | aUniversité Henri Poincaré - Nancy 1, Institut Elie Cartan, BP 239, 54506 Vandoeuvre-lès-Nancy Cedex, France;bUniversité Henri Poincaré - Nancy 1, Centre de Recherche en Automatique de Nancy (CRAN), ESSTIN, 2 rue Jean Lamour, 54519 Vandoeuvre-lès-Nancy Cedex, France |
| |
| Abstract: | In this paper, a class of dynamical systems on  (the N-dimensional torus) is investigated. It is proved that any dynamical system in this class is chaotic in the sense of Devaney, and that the sequences produced are equidistributed for almost every initial data. The above results are then extended to switched affine transformations of  . Next, a chaos-synchronization mechanism is introduced and used for masking information in a communication setup. |
| |
| Keywords: | Chaotic dynamical system Switched systems N-torus Ergodicity Chaos synchronization Cryptography |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
