Exact solutions to chaotic and stochastic systems.

  title={Exact solutions to chaotic and stochastic systems.},
  author={J. A. Gonz{\'a}lez and L Izquierdo Reyes and L. E. Guerrero},
  volume={11 1},
We investigate functions that are exact solutions to chaotic dynamical systems. A generalization of these functions can produce truly random numbers. For the first time, we present solutions to random maps. This allows us to check, analytically, some recent results about the complexity of random dynamical systems. We confirm the result that a negative Lyapunov exponent does not imply predictability in random systems. We test the effectiveness of forecasting methods in distinguishing between… CONTINUE READING

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