Intermittency driven by band-limited noise |
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Authors: | M. Capobianco L. Gammaitoni F. Marchesoni E. Menichella-Saetta S. Santucci |
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Affiliation: | (1) Dipartimento di Fisica, Universitá degli Studi di Perugia, Via A. Pascoli, I-06100 Perugia, Italy;(2) Sezione di Perugia, Istituto Nazionale di Fisica Nucleare, I-06100 Perugia, Italy |
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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). |
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