We study chaotic functions that are exact solutions to nonlinear maps. A generalization of these functions (which cannot be expressed as a recursive procedure anymore) can produce truly random sequences. Even if the initial conditions are known exactly, the next values are in principle unpredictable. We present a mathematical formulation of an elementary stochastic process. Several applications are discussed.
|Original language||English (US)|
|Number of pages||16|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - Feb 15 2000|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics