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Effects of the dimensionless **frequency** of the lid velocity on stream function at central point of cavity (X=0.5 and Y=−0.1443) for Re=100, Gr=5×105.
... Periodic movement of minimum local Nusselt number point on the **oscillating** lid, at W=0.863, Re=100, and Gr=5×105.
... **Frequency** spectrum of the periodic flow field for various dimensionless **frequencies** of lid velocity at Re=100 and Gr=5×105. (a) Constant–velocity lid, (b)W=0.2 and (c) W=0.5.
... Periodic flow and temperature fields in one **oscillating** lid period, at Re=100 and Gr=5×105. (a) Constant–velocity lid, (b) W=0.1 (τpw=62.83) and (c) W=0.863 (τpw=7.28).
... Lid **oscillation**... Maximum and minimum stream functions and Nusselt numbers reached in a period of flow **oscillation** as functions of the dimensionless **frequency** of lid velocity, at Re=100 and Gr=5×105.

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Pattern of prevalence of slow-wave activity (SWA*) and pattern of occurrence of activity in the spindle **frequency** range (SFA*), and the corresponding power spectra. The filtered EEG signals (SWA*: low-pass 4.5Hz; SFA*: band-pass 12–15Hz) and standard deviations calculated for consecutive 0.5s epochs are illustrated for 5min episodes of slow-wave sleep (SWA*), and of stage 2 (SFA*). Both time series were smoothed by applying a three-point moving median filter. Average power spectra of the 5min episodes (n=15) calculated for 64s epochs (FFT, Hanning window, detrended with mean value of epoch) shifted by 20s are plotted on a logarithmic **frequency** scale.
... SFA*, pattern of occurrence of spindle **frequency** activity... All-night EEG power spectra of slow-wave sleep (SWS; stages 3 and 4), stage 2 (S2) and REM sleep (REMS). (A) SWS spectra of three individuals; (B,C) mean of eight subjects. In A and B the spectra were computed for 20s episodes (**frequency** resolution 0.05Hz) and are plotted on a linear scale. In C the spectra were computed for 4s episodes (**frequency** resolution 0.25Hz) and plotted on a logarithmic scale (0dB=1μV2/0.25Hz). Bars below the spectra (B,C) depict F-values in those **frequency** bins in which a one-way ANOVA for repeated measures on log-transformed absolute values (factor “sleep stage”; d.f.=2, 14; P<0.05) yielded a significant effect. F-values of 3.74 correspond to a significance level of 0.05, and 6.51 to a significance level of 0.01. On average 319.5 20s epochs contributed to the SWS spectrum, 594.8 to stage 2, and 233.4 to REM sleep. For the individual subjects the values were 232, 292 and 406.
... SFA, spindle **frequency** activity (EEG power in the 12–15Hz range)... Pattern of prevalence of slow-wave activity (SWA*) and pattern of occurrence of activity in the spindle **frequency** range (SFA*). The original EEG, filtered EEG activity (SWA*: low-pass 4.5Hz; SFA*: band-pass 12–15Hz), and the standard deviation calculated for consecutive 0.5s epochs of the filtered signals are illustrated for a 20s epoch of stage 4 (SWA*) and stage 2 (SFA*).
... Average EEG power spectra (n=8) of nonREM sleep episodes 1 to 4. (A–C) 20s episode (**frequency** resolution 0.05Hz), (D–F) 4s episode (**frequency** resolution 0.25Hz). Absolute spectra are plotted on a linear scale (A) and on a logarithmic scale (D; 0dB=1μV2/0.25Hz). In the relative spectra (B,E), values in each **frequency** bin of episodes 2 to 4 are expressed as percentage of the corresponding bin in episode 1. Bars (C,F) depict F-values in those **frequency** bins in which a one-way ANOVA for repeated measures on log-transformed absolute values (factor “episode”; d.f.=3, 21; P<0.05) yielded a significant effect. F-values of 3.07 correspond to a significance level of 0.05, and 4.87 to a significance level of 0.01. On average, 210.9 20s epochs contributed to the spectra of episode 1, 234.6 to episode 2, 175.4 to episode 3, and 181.4 to episode 4.
... Average power spectra of the 0.5s time series (FFT, Hanning window, detrended with mean value of epoch) of SWA* and SFA* of nonREM sleep episodes 1 to 4. The **frequency** axis is plotted on a logarithmic scale. Spectra of 64s epochs shifted by 20s were calculated (**frequency** resolution 0.015625Hz). Only 64s epochs containing identical 20s sleep scores and being devoid of artifacts, were retained for further analysis. A one-way ANOVA for repeated measures on log-transformed absolute values (factor “episode”; d.f.=3, 21; Pfrequency range for the SWA* spectrum, and for the SFA* spectrum up to 0.5Hz. On average 135.3 64s epochs contributed to the spectra of episode 1, 138.8 to episode 2, 127.8 to episode 3, and 143.3 to episode 4.
... slow **oscillation**

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Van der Pol **oscillator** (18) for a=1,q=1,r=0,ω0=1,s=0.5,x0=0,x˙0=1.
... Ueda **oscillator**; Eq. (1) for p=0.05,q=0,r=1,s=7.5,ω0=1,x0=0,x˙0=1.
... Van der Pol **oscillator** (18) for a=0.05,q=1,r=1,ω0=0.38,s=0.16,x0=0,x˙0=-1.

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Response of an array of 5 **oscillators** with −10 dB of SNR, spacing 0.1 rad/s among **oscillators** within the same time window.
... Time-**frequency**... **Oscillator** response with chirp reference signal and a **frequency** variation ratio ω′ equal to 0.0001 rad/s2.
... Duffing **oscillator**... Response of an array with five Duffing **oscillators**; spacing among **oscillators** 0.1 rad/s within the same time window.
... Array of Duffing **oscillators**.
... **Frequency** estimation enhancement from the Duffing **oscillator** response.

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Projected phase space of system (30) in the x1–x3 plane with N=10, for two different values q=3 ((a), (c)) and q=5 ((b), (d)), respectively. (a) and (b) describe the 2:1 period **oscillations** for the choice ω1=2 and ω2,ω3,…,ω10=1. (c) and (d) describe the quasiperiodic **oscillations** for the choice ω1=2 and ω2,ω3,…,ω10=1.
... (a) Time series plot of Eq. (15) for q=3 exhibiting periodic **oscillations** with the initial condition x(0)=3 and x˙(0)=0 for ω=1. (b) Phase space portrait of Eq. (15).
... Projected phase space of the almost integrable system (51) in the x1–x2 plane for the choices (a) ω1=1, ω2=2 exhibiting 1:2 period **oscillation**, (b) ω1=2, ω2=1 exhibiting quasiperiodic **oscillation**.
... Nonlinear **oscillators**... (Color online.) (a) Time series plot of Eq. (1) exhibiting periodic **oscillation** for three different initial conditions (three different colors) and ω=1.0. (b) Phase space portrait of Eq. (1).

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Heat flux, Reynolds number and **oscillating** **frequency** ranges
... Variation of Nusselt number with Reynolds number for different **oscillating** **frequencies**.
... **Oscillating** flow... Variation of exergy loss with Reynolds number at **oscillating** **frequencies** (a) f=0 Hz and (b) f=20 Hz along tube length.
... Oscillatory **frequency**... Variation of Exergy loss with Reynolds Number at different **oscillating** **frequencies**.
... Local Nusselt number versus tube length for different **oscillating** **frequencies** at (a) Re=5000, (b) Re=20,000.

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Normalized primary-mode **frequencies** of the drag and lift coefficients a... Time history of lift coefficient spanning three **oscillation** periods for a deeply submerged cylinder **oscillating** with A=0.4 and fe/fo=1.1 and 1.15. The dashed lines indicate the times when the cylinder moves to the highest position.
... Transverse **oscillation**... Definition of problem. U: inflow velocity, g: gravitational acceleration, D: cylinder diameter, A: amplitude of **oscillation**, fe: **frequency** of **oscillation**, h: distance between still fluid surface and cylinder top when the cylinder moves to the equilibrium position, ρi: mass density of the i-th fluid phase, μi: dynamic viscosity of the i-th fluid phase.
... Normalized beating **frequency** of lift coefficient (fb/fe), normalized vortex shedding **frequency** (fv/fe), and vortex structure number sequence (NS) for a deeply submerged cylinder **oscillating** with selected **frequency** ratios. The individual number in NS denotes the number of vortices which merge in the middle wake.
... Lift and drag coefficients as function of time for three **frequency** ratios with Fr=0.5, h=0.4, and A=0.4. Also shown is the time history of the vertical coordinate of the cylinder center. Te=1/fe is the prescribed **oscillation** period and tref some reference time when the cylinder reaches the highest position.

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The relation between seizure **frequency** per month and number of channels with (A) ripples (>1/min), (B) fast ripples (>1/min), and (C) more than 20 fast ripples per minute. There were no patients with 0 channels with ripples (>1/min; A), but there were patients with 0 channels with fast ripples (>1 or >20/min; B and C). The seizure **frequency** was shown on a logarithmic scale, because of the distribution. As indicated in the text, there was no correlation between seizure **frequency** per month and the number of channels with more than 1 ripple or fast ripple per minute, but there was a positive correlation between seizure **frequency** and more than 20 fast ripples per minute.
... This table shows the correlation coefficients Rho for different alternative comparisons: seizure **frequency** (seizures/month) compared to the number and percentage of channels with ripples, fast ripples, spikes and ripples and fast ripples without spikes (first two lines), seizure **frequency** compared to number of channels with higher rates of ripples and fast ripples (>5, >10 and >20, lines 3–5) and number of seizure-days/month compared to channels with ripples and fast ripples. All comparisons were done for all patients, all patients with temporal lobe epilepsy and all patients with unilateral mesiotemporal seizure onset.

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Amplitude spectra of our entire data sets for HD 101065 acquired on HJD 2456460 – 6462. Panel (a) clearly shows the principal **frequency** of **oscillation** ν1=1.372867 mHz, and the secondary **frequency** ν2=0.954261 mHz. On pre-whitening ν1, we are left with ν2 in panel (b). Panel (c) gives the residuals after pre-whitening ν2. There is still evidence of further **frequencies** although below the detection criterion.
... Amplitude spectra of HD 101065 data acquired on HJD 2456460 – 6462. Panel (a) clearly shows the principal **frequency** of **oscillation** ν1=1.372867 mHz, and the secondary **frequency** ν2=0.954261 mHz. On pre-whitening ν1, we are left with ν2 in panel (b). Again, on pre-whitening ν2, we are left with low **frequency** residuals peaks in panel (c) which still suggests possible presence of further **oscillation** **frequencies**.
... The Non-linear least-square fit for the principal **frequency** ν1=1.372865 mHz. The JohnsonB amplitude of **oscillation** from year 1978 – 1988 were adopted from Martinez and Kurtz (1990), while that of year 2013 represent the amplitude and phase of **oscillation** secured from our combined data set (HJD 2456404 – 6462). Apart from year 2013 observation which has been analysed using 40-s integrations, 80-s integrations were used in all earlier observations adopted from Martinez and Kurtz (1990)).
... Stars: **oscillations**... The corresponding nightly amplitude spectra of HD 101065 on HJD 2456404 – 6462. Note the presence of resolved secondary **frequencies** ν2 in each panel around the region of 1 mHz. The known principal **oscillation** **frequency** ν1 is also present in all the panels, while 2ν1 which is the harmonic of ν1 appears marginally in panel (b) only.
... Non-linear least-square fit for the **frequencies** secured from our combined data set (HJD 2456404 – 6462).

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Radius and mean surface density for spherical fullerenes and the corresponding CNT radius for stable **oscillations** [33,34].
... **Oscillation** **frequency** of C60-nanotube **oscillator** versus half length of nanotube.
... **Oscillation** **frequency**... **Oscillation** **frequency** against the initial velocity of fullerene (L=70Å).
... **Oscillation** **frequency** against the initial velocity of fullerene (RF=3.55Å).
... Variation of **frequency** with the difference between the amplitude and half length of nanotube (L=70Å).

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