Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Characterization techniques associated with Poincare sections, Lyapunov exponents, capacity and information dimensions, power spectra and probability densities are used for a non-linear single-degree-of-freedom system. It is shown that it is virtually impossible to distinguish between chaotic and non-chaotic stochastic motion when a relatively high intensity of the external excitation is involved. While looking for a transition criterion, the algorithmic experience on the subject is increased.
"Chaotic Motion versus Stochastic Excitation." / Bontempi, Franco; Casciati, F.; Faravelli, L.. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - 1, n°6:(1991), pp. 491-500.
"Chaotic Motion versus Stochastic Excitation."
BONTEMPI, Franco;
1991
Abstract
Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Characterization techniques associated with Poincare sections, Lyapunov exponents, capacity and information dimensions, power spectra and probability densities are used for a non-linear single-degree-of-freedom system. It is shown that it is virtually impossible to distinguish between chaotic and non-chaotic stochastic motion when a relatively high intensity of the external excitation is involved. While looking for a transition criterion, the algorithmic experience on the subject is increased.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.