On the effects of an uncertainty on the evolution law in dynamical systems

Andrea Crisanti, Massimo Falcioni and Angelo Vulpiani

Physica A: Statistical Mechanics and its Applications, 1989, vol. 160, issue 3, 482-502

Abstract: We show that a small perturbation of the evolution law of chaotic dynamical systems is practically equivalent to the finite precision on the knowledge of the initial condition. In spite of the short predictability time tp on a single trajectory we found that the statistical properties are not sensitive to small changes in the evolution law or initial probability distribution. This feature holds also for correlation functions at a delay larger than tp. We discuss the roundoff effects on integrable systems.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:160:y:1989:i:3:p:482-502

DOI: 10.1016/0378-4371(89)90453-6

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