TY - JOUR
T1 - Chaotic and stochastic functions
AU - González, Jorge A.
AU - Pino, Ramiro
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000/2/15
Y1 - 2000/2/15
N2 - 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.
AB - 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.
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U2 - 10.1016/S0378-4371(99)00423-9
DO - 10.1016/S0378-4371(99)00423-9
M3 - Article
AN - SCOPUS:0342656563
VL - 276
SP - 425
EP - 440
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
IS - 3-4
ER -