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Chaotic and stochastic functions

Author

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  • González, Jorge A.
  • Pino, Ramiro

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.

Suggested Citation

  • González, Jorge A. & Pino, Ramiro, 2000. "Chaotic and stochastic functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(3), pages 425-440.
    • Handle: RePEc:eee:phsmap:v:276:y:2000:i:3:p:425-440
    DOI: 10.1016/S0378-4371(99)00423-9
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    Cited by:

    1. Zhang, Linhua & Liao, Xiaofeng & Wang, Xuebing, 2005. "An image encryption approach based on chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 759-765.

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