We discuss how to characterize the behaviour of a chaotic dynamical system depending on a parameter that varies periodically in time, such that the time scale of the periodic variation of the parameter is much larger than the 'internal' time scale. In particular, we study the predictability time, the correlations and the mean responses, by defining a local-in-time version of these quantities. We find that the local quantities strongly depend on the phase of the cycle. In this case, the standard global quantities can give misleading information.
Characterization of a periodically driven chaotic dynamical system / Crisanti, Andrea; Falcioni, Massimo; G., Lacorata; R., Purini; Vulpiani, Angelo. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 30:2(1997), pp. 371-383. [10.1088/0305-4470/30/2/005]
Characterization of a periodically driven chaotic dynamical system
CRISANTI, Andrea;FALCIONI, Massimo;VULPIANI, Angelo
1997
Abstract
We discuss how to characterize the behaviour of a chaotic dynamical system depending on a parameter that varies periodically in time, such that the time scale of the periodic variation of the parameter is much larger than the 'internal' time scale. In particular, we study the predictability time, the correlations and the mean responses, by defining a local-in-time version of these quantities. We find that the local quantities strongly depend on the phase of the cycle. In this case, the standard global quantities can give misleading information.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
