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  • Free oscillation response of pendulum mechanism. ... Free oscillation response... Low frequency
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  • Nonlinear oscillator... He’s frequency formulation
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  • (A) Comparison of the frequency of oscillations during oblique, pure horizontal and pure vertical saccades. Number of observations is plotted on y-axis, while x-axis represents bins of oscillation frequency. Each data point represents the number of observations in a given frequency bin. Black trace suggests oblique saccade, Gray traces with circular symbols are horizontal saccades and triangular symbols represent vertical saccade. Dashed lines depict median oscillation frequency. (B) Comparison of frequency oblique saccade oscillations with the frequency of orthogonal saccadic oscillations during pure horizontal and vertical saccades. Each data point depicts one subject. Black data points are comparison with pure horizontal saccade, gray data points are comparison with vertical saccade. Dashed gray line is an equality line. (C) Comparison of the amplitude of the sinusoidal modulation of oblique, horizontal, and vertical saccade trajectories. Number of samples is plotted on y-axis, while x-axis represents the amplitude bins. Each data point depicts number of observations in a given bin of the histogram. Black trace shows oblique saccade, Gray trace with circuit symbol is a horizontal saccade and the triangular symbol is a vertical saccade. Dashed lines represent median values. ... An example of horizontal, vertical, and oblique saccade from one healthy subject. The left column depicts horizontal saccade; central column vertical, and right column is oblique saccade. Panels A, B and C illustrate eye position vector plotted along y-axis. Panels D, E and F represent eye velocity vector plotted along y-axis while ordinate in panels G, H and I illustrate eye acceleration. In each panel, x-axis represents corresponding time. Arrows in panels C, F, I show oscillations in oblique saccade trajectory.
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  • Calculated average current due to quantum oscillations of an electron in a double quantum dot after time t, starting in the left dot at t=0. Ohmic dissipation at temperature T, coupling parameter g≡2α=0.1, and cutoff frequency ωc. The curves represent the numerical solutions of the Bloch equations whereas the crosses correspond to the analytical solutions Eq. (7.51). ... Left: three-level system under irradiation. Dashed lines indicate decay due to spontaneous emission of photons. Right: stationary occupation of the upper level |0〉. Ω1 and Ω2 denote the Rabi frequencies corresponding to both radiation fields, Γ0 is the decay rate of the upper level, Γ21=2γp is the decay rate of level |2〉. From [307]. ... Wigner distributions in the phase-space analysis of the ‘quantum shuttle’ (single electron plus resonator) model Eq. (6.32) by Novotný and co-workers [292], showing the transition from tunneling (strong damping γ) to shuttling (small γ). The latter regime is indicated by the half-moon shapes of the charge-resolved W00 (upper row describing an empty level when the oscillator goes from right to left) and W11 (middle row, describing an electron shuttled from left to right), whereas Wtot=W00+W11 (lower row) corresponds to the total oscillator state. From [292]. ... Left: (a) double dot in the experiment by Hayashi et al. [199] with tunable source–drain voltage VSD(t), energy splitting ε(t), and tunnel coupling Tc(=Δ/2 in [199]), giving rise to the time-dependent Hamiltonian, Eq. (7.47), and the sequence (c–e) with quantum mechanical oscillations between left (L) and right (R) dot, (d). Right: non-linear current profile as a function of ε near the two resonance peaks, α and β. (b) Mean dot occupancy np≡Ip/efrep as a function of VR (inter-dot bias ε) and pulse duration tp. (c) The main result: coherent oscillations in the two two-level systems, α and β. (d) Central gate voltage dependence of tunnel coupling Δ=2Tc. From [199]. ... Left: Rabi frequencies, fidelity and electric current as a function of the interaction time for STIRAP in double quantum dots. Ω0=2Γo, Γ=Γ0/3, θ=π/3, α1=α2=1/2, T=τ=100/Γ0. Right: second probe pulses Rabi frequencies, Eq. (7.29), and current pulse I(t) in double pulse scheme. Ωp=0.5Γo, Tp=1/Γ0 and Δt=500/Γ0. From [156].
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  • Time evolution of the LZ transition probability in the diabatic basis of a two-level system in the presence of a low-frequency Gaussian coloured noise. (a) Low-frequency noise limit (Eq. (20)). (b) All frequency limits (Eq. (24)). (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.) ... Qubit... shows the curves for the low-frequency Dichotomous noise where (a) corresponds to low-frequency Dichotomous noise (Eq. (28)) and (b), all frequency limits (Eq. (31)).
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  • Apparent dilational elasticity modulus as a function of oscillation frequency for drops of water (♦), water/ethanol 86:14 (■), ethanol (▴), amplitude of volume oscillations 8%. ... Surface tension and apparent dilational elasticity modulus E as a function of oscillation frequency for an air bubble in pure water. ... Oscillating drops and bubbles... Surface tension and apparent dilational elasticity modulus E as a function of oscillation frequency for a drop of pure water in air. ... Apparent dilational elasticity modulus as a function of oscillation frequency for drops of silicon oil (●), paraffin oil (■), amplitude of volume oscillations 2%. ... Limiting frequency... Apparent dilational elasticity modulus as a function of oscillation frequency for drops of water (♦), water/ethanol 86:14 (■), ethanol (▴), amplitude of volume oscillations 2%.
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  • Dominant frequency... The first and the second dominant frequencies variation with the steam mass flux. ... The first and the second dominant frequencies variation with the water temperature. ... The dominant frequency regime map. ... Pressure oscillation... Frequency spectrums of pressure oscillation at different water temperatures and steam mass flux. ... The dominant frequencies in different measurement points by Qiu et al. [14].
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  • Frequency spectrograms distribution along the axial direction (R/D=2). ... Frequency spectrograms of condensation oscillation [21]. ... Frequency spectrograms under radial position of R/D=3.0 and R/D=4.0. ... Half affected width of pressure oscillation. ... Pressure oscillation... Oscillation power axial distribution for low frequency region.
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  • The plots of 1H signal width for the crystalline region of polyethylene thin film on the surface of on an piezoelectric oscillator plate against oscillation frequency in the range from 1 Hz to 2 MHz (a) and in the expanded range from 1 Hz to 100 kHz (b) at 40 °C. ... The plots of 1H signal width for the non-crystalline region of polyethylene thin film on the surface of on a piezoelectric oscillator plate against oscillation frequency in the range from 1 Hz to 2 MHz (a) in the expanded range from 1 Hz to 100 kHz (b) at 40 °C. ... A diagram of an NMR glass tube with an piezoelectric oscillator plate. The polyethylene thin film was molten and adhered on the surface of piezoelectric oscillator plate. The oscillation of an piezoelectric oscillator plate is generated by AD alternator.
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  • High-frequency oscillations... Time–frequency distributions. On the left side, the full 20–1000 Hz range is displayed for three exemplary subjects. The two graphs per subject show the ERG and VEP activity, respectively. The high-frequency oscillations appear as a distinct area which in most cases is around or above 100 Hz. The flash was given at t=0. Those parts of the time–frequency diagram which would be contaminated by edge effects are displayed in white. Their spread is due to the inevitable frequency-dependent finite time resolution, which also causes the spurious pre-stimulus activity at low frequencies. The white rectangles in the diagrams mark the regions of interest, which are shown enlarged on the right side for all 7 subjects. The arrows link the high-frequency maxima of ERG and VEP. Most subjects produced activity around or above 100 Hz in both VEP and ERG. However, only in one subject (S1) the frequencies matched. Asterisks indicate the significance levels of frequency differences in standard notation, based on a sequential Bonferroni adjustment. No significance value could be obtained for subject S3.
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