Rotational motion described by a stochastic non linear Mathieu equation with a white noise or narrow-band excitation

2014 ◽  
pp. 1055-1060
Author(s):  
P Alevras ◽  
D Yurchenko ◽  
A Naess
Keyword(s):  
White Noise ◽  
Rotational Motion ◽  
Narrow Band ◽  
Mathieu Equation ◽  
Non Linear

Infant Responses to Recorded Sounds

1968 ◽  
Vol 11 (4) ◽  
pp. 811-816 ◽  
Author(s):  
Maurice I. Mendel
Keyword(s):  
White Noise ◽  
Narrow Band ◽  
Limited Bandwidth ◽  
Broadband Spectrum ◽  
Continuous Band

Thirty infants, ranging in age from 4 to 11 months, were tested with five different recorded sounds that varied in bandwidth and temporal configuration: a continuous band of white noise, the same band of noise interrupted twice per second, the crinkling of onionskin paper, a narrow band of noise centered at 3000 Hz, and a warbled 3000 Hz tone. With loudness and duration of the stimuli held constant, more responses occurred to sounds composed of a broadband spectrum than to those of a limited bandwidth. Temporal configuration of the sound had no effect on the number of responses elicited.

Measurement of Wiener kernels

1984 ◽  
Vol 16 (1) ◽  
pp. 11-12
Author(s):  
Yoshifusa Ito
Keyword(s):  
Differential Operator ◽  
Mathematical Models ◽  
White Noise ◽  
Linear Systems ◽  
Main Part ◽  
The Other ◽  
Linear Functionals ◽  
Wiener Kernels ◽  
Non Linear ◽  
Non Linear Systems

Since the late 1960s Wiener's theory on the non-linear functionals of white noise has been widely applied to the construction of mathematical models of non-linear systems, especially in the field of biology. For such applications the main part is the measurement of Wiener's kernels, for which two methods have been proposed: one by Wiener himself and the other by Lee and Schetzen. The aim of this paper is to show that there is another method based on Hida's differential operator.

scholarly journals Peak response of non-linear oscillators under stationary white noise

2007 ◽  
Vol 85 (5-6) ◽  
pp. 255-263 ◽  
Author(s):  
G. Muscolino ◽  
A. Palmeri
Keyword(s):  
White Noise ◽  
Peak Response ◽  
Non Linear

Relationships between acoustic reflex patterns elicited by unfiltered white noise and narrow band white noise stimuli of different duration but of the same intensity

1985 ◽  
Vol 99 (9) ◽  
pp. 857-863 ◽  
Author(s):  
Giovanni Rossi ◽  
Paolo Solero ◽  
M. Rolando
Keyword(s):  
White Noise ◽  
Narrow Band ◽  
Acoustic Signals ◽  
The Other ◽  
Acoustic Reflex ◽  
Other Hand ◽  
Recruitment Time

AbstractFor the purpose of this study, acoustic signals were generated by an Amplaid MK VI. An Amplaid 702 impedence meter was connected to its averaging section and to its computer. The stimuli were bursts of unfiltered white noise (UWN) and of narrow band white noise (NBWN; 30 db./oct/slope; central frequencies 1,000, 2,000, 4,000 Hz.) lasting 3–1,000 msec, at intensity of 105 db. SPL p.e. The following parameters were evaluated: stapedius contraction latency, amplitude, duration and recruitment time. It was found that latency was independent of the spectrum of the stimulus and its duration. Amplitude and recruitment time, on the other hand, were related to spectrum and duration, while duration of contraction was directly related to the duration of the stimulus only.

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