The finiteness of observational and computational precision suggests that not only the initial condition (as usually assumed) but also the evolution law of dynamical systems is affected by unavoidable uncertainties. The consequences are explored by suitably generalizing the concept of the Lyapunov exponent. The relation between the results obtained and the shadowing problem is discussed as well as some implications concerning the Kolmogorov entropy.

SOME CONSIDERATIONS ON ERROR INFLUENCE IN THE EVOLUTION OF DYNAMICAL-SYSTEMS

MALESCIO, Gianpietro
1994

Abstract

The finiteness of observational and computational precision suggests that not only the initial condition (as usually assumed) but also the evolution law of dynamical systems is affected by unavoidable uncertainties. The consequences are explored by suitably generalizing the concept of the Lyapunov exponent. The relation between the results obtained and the shadowing problem is discussed as well as some implications concerning the Kolmogorov entropy.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11570/13782
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