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 and Stochastic Excitation." / Bontempi, Franco; Casciati, F.. - In: NONLINEAR DYNAMICS. - ISSN 0924-090X. - STAMPA. - 6:(1994), pp. 179-191.

"Chaotic Motion and Stochastic Excitation."

BONTEMPI, Franco;
1994

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.
1994
chaos; nonlinear dynamics; stocastic dynamics
01 Pubblicazione su rivista::01a Articolo in rivista
"Chaotic Motion and Stochastic Excitation." / Bontempi, Franco; Casciati, F.. - In: NONLINEAR DYNAMICS. - ISSN 0924-090X. - STAMPA. - 6:(1994), pp. 179-191.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/70503
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