Chaotic Dynamical Systems Associated with Tilings of RN
Lionel Rosier · IGI Global eBooks · 2011
In this chapter, we consider a class of discrete dynamical systems defined on the homogeneous space associated with a regular tiling of RN, whose most familiar example is provided by the N-dimensional torus TN. It is proved that any dynamical system in this class is chaotic in the sense of Devaney, and that it admits at least one positive Lyapunov exponent. Next, a chaos-synchronization mechanism is introduced and used for masking information in a communication setup.Request access from your librarian to read this chapter's full text.