Nonlinear systems driven by band-limited noise exhibit intermittent dynamics over a wide frequency domain, as revealed by high-pass filtering the system response at a cut-on frequency much higher than the noise cut-off frequency. The statistics of the stationary intermittency thus developed is investigated in detail by analogue simulation of a simple monostable system, the overdamped quartic oscillator, in the limit of strong nonlinearity. The mathematical interpretation of our results is provided in terms of a statistically refined singular-perturbation argument, which explains the occurrence of an intermittent burst in the high-pass filtered signal with the close coincidence of a signal inflection point with a noise zero-crossing. Our interest focuses on a characteristic frequency domain, where the intermittent phenomenon is sensitive to the nonlinear nature of the system, only, irrespective of the driving noise statistics (inertial range).

Intermittency Driven By Band-limited Noise - the Inertial Regime

GAMMAITONI, Luca;MARCHESONI, Fabio;SANTUCCI, Sergio
1993

Abstract

Nonlinear systems driven by band-limited noise exhibit intermittent dynamics over a wide frequency domain, as revealed by high-pass filtering the system response at a cut-on frequency much higher than the noise cut-off frequency. The statistics of the stationary intermittency thus developed is investigated in detail by analogue simulation of a simple monostable system, the overdamped quartic oscillator, in the limit of strong nonlinearity. The mathematical interpretation of our results is provided in terms of a statistically refined singular-perturbation argument, which explains the occurrence of an intermittent burst in the high-pass filtered signal with the close coincidence of a signal inflection point with a noise zero-crossing. Our interest focuses on a characteristic frequency domain, where the intermittent phenomenon is sensitive to the nonlinear nature of the system, only, irrespective of the driving noise statistics (inertial range).
1993
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/925592
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