The finiteness of observational and computational precision suggests that not only the initial condition, as is usually assumed, but also the evolution law of dynamical systems is affected by unavoidable uncertainties. The consequences are explored for chaotic systems by suitably generalizing the concept of the Lyapunov exponent in the case of one-dimensional maps. The relation between the results obtained and the shadowing problem is discussed.
GENERALIZED ERROR PROPAGATION IN ONE-DIMENSIONAL CHAOTIC SYSTEMS
MALESCIO, Gianpietro
1993-01-01
Abstract
The finiteness of observational and computational precision suggests that not only the initial condition, as is usually assumed, but also the evolution law of dynamical systems is affected by unavoidable uncertainties. The consequences are explored for chaotic systems by suitably generalizing the concept of the Lyapunov exponent in the case of one-dimensional maps. The relation between the results obtained and the shadowing problem is discussed.File in questo prodotto:
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