Chaotic and stochastic functions

Jorge A. González; Ramiro Pino

doi:10.1016/S0378-4371(99)00423-9

Chaotic and stochastic functions

Jorge A. González, Ramiro Pino

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

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)
Pages (from-to)	425-440
Number of pages	16
Journal	Physica A: Statistical Mechanics and its Applications
Volume	276
Issue number	3-4
DOIs	https://doi.org/10.1016/S0378-4371(99)00423-9
State	Published - Feb 15 2000

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/S0378-4371(99)00423-9

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title = "Chaotic and stochastic functions",

abstract = "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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AU - González, Jorge A.

AU - Pino, Ramiro

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

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AN - SCOPUS:0342656563

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VL - 276

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EP - 440

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 3-4

ER -

Chaotic and stochastic functions

Abstract

ASJC Scopus subject areas

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