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.
On the effects of an uncertainty on evolution law in dynamical systems / Crisanti, Andrea; Falcioni, Massimo; Vulpiani, Angelo. - In: PHYSICA. A. - ISSN 0378-4371. - STAMPA. - 160:(1989), pp. 482-502. [10.1016/0378-4371(89)90453-6]
On the effects of an uncertainty on evolution law in dynamical systems
CRISANTI, Andrea;FALCIONI, Massimo;VULPIANI, Angelo
1989
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
