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.
Contributors:P Achermann, A.A Borbély
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
Contributors:Ü. Lepik, H. Hein
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.
Contributors:Antonio H. Costa, Rogerio Enríquez-Caldera, M. Tello-Bello, Carlos R. Bermúdez-Gómez
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.
Contributors:V.K. Chandrasekar, Jane H. Sheeba, R. Gladwin Pradeep, R.S. Divyasree, M. Lakshmanan
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).
Contributors:H. Gül, Ebru Kavak Akpinar
Heat flux, Reynolds number and oscillatingfrequency ranges
... Variation of Nusselt number with Reynolds number for different oscillatingfrequencies.
... Oscillating flow... Variation of exergy loss with Reynolds number at oscillatingfrequencies (a) f=0 Hz and (b) f=20 Hz along tube length.
... Oscillatory frequency... Variation of Exergy loss with Reynolds Number at different oscillatingfrequencies.
... Local Nusselt number versus tube length for different oscillatingfrequencies at (a) Re=5000, (b) Re=20,000.
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.
Contributors:Maeike Zijlmans, Julia Jacobs, Rina Zelmann, François Dubeau, Jean Gotman
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.
Contributors:C.N. Ofodum, P.N. Okeke
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 oscillationfrequencies.
... 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 oscillationfrequency 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).
Contributors:R. Ansari, F. Sadeghi, B. Motevalli
Radius and mean surface density for spherical fullerenes and the corresponding CNT radius for stable oscillations [33,34].
... Oscillationfrequency of C60-nanotube oscillator versus half length of nanotube.
... Oscillationfrequency... Oscillationfrequency against the initial velocity of fullerene (L=70Å).
... Oscillationfrequency 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).