Chaotic dynamical systems associated with tilings of R
نویسنده
چکیده
In this chapter, we consider a class of discrete dynamical systems defined on the homogeneous space associated with a regular tiling of R , whose most familiar example is provided by the N−dimensional torus T . 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 chaossynchronization mechanism is introduced and used for masking information in a communication setup.
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