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Relation between the **oscillation** **frequency** and the coupling strength.
... Capacitive coupled RC-**oscillators**.
... RC-**oscillators**... Coupled **oscillators**... (a) Single RC **oscillator** and (b) small-signal equivalent circuit.
... Quadrature **oscillator**... Simulated **frequency**.
... Van der Pol **oscillators**... **Frequency** of **oscillation** with the **oscillators** uncoupled and coupled (CX=20fF).

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Typical spontaneous Ca2+ **oscillations** from the computational study. From top to bottom, the three plots correspond to **oscillations** in cytoplasmic Ca2+, ER Ca2+, and cytoplasmic IP3. All three variables have the same **frequency** but different peak times (details are shown in Fig. 4).
... (A) Bifurcation diagram of Ca2+ **oscillations** as a function of membrane potential. Sustained Ca2+ **oscillations** occurred in the potential range of −70.0 to −64.9 mV, where the maximum and minimum of Ca2+ **oscillations** were plotted. The dashed line refers to the unstable steady state. Out of the oscillatory domain, the system evolved into a stable steady state. (B) **Frequency** of Ca2+ **oscillations** versus membrane potential.
... Dependence of Ca2+ **oscillations** on extracellular Ca2+ concentration. Ca2+ **oscillations** stopped when the extracellular Ca2+ concentration was too low or too high. From 0.1 to 1500 μM, the **frequency** of Ca2+ **oscillations** increased with a rise in extracellular Ca2+ concentration.
... Amplitude and **frequency** of Ca2+ **oscillations** versus temperature. In the temperature range of 20–37°C, both the amplitude (indicated as an asterisk) and **frequency** (dotted line) decreased with temperature.
... The occurrence of Ca2+ **oscillation** depends on the membrane potential. When the membrane potential is −64.9 mV, there is no Ca2+ **oscillation**. Within −70.0 to −64.9 mV, the **frequency** and amplitude of Ca2+ **oscillations** change with the membrane potential.

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(a) Time series for the first chrono-mode of the POD, a1(t), for the three different forcings with vin=0.4m/s (Re=3.1in×103, N=0.02). (b) Power spectra of the chrono-modes a1(t). **Frequency** peaks are found at fPOD=0.027Hz (FL0). The values of the **frequency** peaks are in reasonable agreement with the **frequencies** found for the free surface fluctuations, fTS.
... (a–c) Profiles of the turbulence kinetic energy kturb,2D. (d–f) Profiles of the kinetic energy associated with the large-scale **oscillations** kosc,2D. The inlet velocity is vin=0.4m/s (Rein=3.1×103, N=0.02).
... Amplitude A and **frequency** fTS of the free surface **oscillation** at a monitoring point at x=0.175m for the three different forcings (Rein=3.1×103, N=0.02). Dominant **frequency** fPOD from the power spectrum of the first chrono mode of the POD.
... Self-sustained **oscillations**

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(a) Diffusion signal for different waveforms: square with 90° phase, apodised cosine and apodised trapezoid as a function of **oscillation** **frequency** for four different sizes of the restricted compartment; (b) corresponding extracted ADC values. The diffusion signal and ADC for apodised trapezoid and square wave are very similar and are plotted on top of each other.
... **Oscillating** gradient... (a) Average signal difference between square and sine approximations and the full trapezoidal expressions as a function of α for R=2μm and 10μm. (b) Diffusion signal for R=5μm for the three waveforms with gradient strength G=60mT/m and 200mT/m as a function of **oscillation** **frequency**.
... (a) Average signal difference between square and sine approximations and the full trapezoidal expression considering: I – same amplitude, II – same area under the curves, III – same area under the squared curves and IV – same b value per **oscillation**. (b) Difference between square and sine approximations and the full trapezoidal expressions with SR=200T/m/s as a function of n for all data points with R=5μm.
... Restricted diffusion signal as a function of **oscillation** **frequency** for (a) several values of Δ, R=5μm and G=0.1T/m; (b) several gradient strengths, R=5μm and Δ=25ms. In (a) and (b) the filled markers indicate waveforms with integer number of **oscillations**. Restricted diffusion as a function of (c) gradient strength for several **frequencies**, R=5μm and Δ=45ms; (d) cylinder radius for several **frequencies**, G=0.1T/m and Δ=45ms. The markers show the MC simulation and the solid lines are the GPD approximations. The vertical bar separates different scales on the x-axis.
... Square wave **oscillations**

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Cross-**frequency** coupling... Simulation results. Coupling portraits for simulated data for (A) clean (SNR=20dB) and (B) noisy cases (SNR=−10dB). PAC was generated to be at 60–80Hz (amplitude **frequency**) and 15Hz (phase **frequency**). The simulated signal contained also **oscillations** (at 20, 25, 30, 40 and 100Hz) having no coupling relation. These portraits show the mean PAC estimates over 100 repetitions for each method. Only methods robust enough were presented: direct PAC estimate, GLM with spurious term removed, MI with statistics and raw MI without statistics (ordered from left to right). Notice that the first two methods yield very similar outputs identifying PAC correctly and they are robust to both non-coupled **oscillations** and noise.
... **Oscillations**

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Flow forces acting on an **oscillating** cylinder.
... Dimensionless (a) amplitude (A*=A/D) and (b) **frequency** (f*=fos/fna) of the crossflow **oscillations** versus the reduced velocity for a curved cylinder in the convex configuration (■) and a vertical cylinder (○).
... Flow visualizations in the wake of a curved cylinder for the fixed (a) convex and (b) concave configurations, and free-to-**oscillate** (c) convex and (d) concave configurations. Flow is from left to right.
... Dimensionless (a) amplitude (A*=A/D) and (b) **frequency** (f*=fos/fna) of the crossflow **oscillations** versus the reduced velocity for a curved cylinder in the concave configuration (▲) and a vertical cylinder (○).

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In this figure we report as a function of optical depth the computed **frequencies**, center of mass (γ0), amplitudes and phases derived from the fit of velocities for each of the selected lines. Meaning of the symbols is: circles (red) carbon lines, stars (magenta) silicon lines, triangles (blues) oxygen lines and boxes (green) nitrogen lines. (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.)
... Pulsations, **oscillations**, and stellar seismology

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Numerical validation of the FRCs shown in the corresponding plots of Fig. 4. Stable FRC solution (blue solid line), unstable FRC solution (red dashed line), numerical solution (black circles). In (e) and (f) the approximate analytical expression for the FRC fails to predict the response, which is not harmonic (NH) in a small **frequency** range around 1. Approximate expressions for the jump **frequencies** given in Table 3 are shown as vertical dashed lines. (a) Region I, (b) Region II′, (c) Region IIIb, (d) Region IIIa′, (e) Region IV and (f) Region V. (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.)
... Approximate expressions for the jump-up and jump-down **frequencies** together with their regions of applicability.
... Three-dimensional plots illustrating the relationship between the bifurcation curves and the FRCs, for ω0=0.3 and different combinations of ζ and γ: ζ=0.002 and (a) γ=2×10−9, (b) γ=2×10−6, (c) γ=2×10−5; ζ=0.02 and (d) γ=5×10−4, (e) γ=4×10−3 and (f) γ=2×10−2. On the Ω−γ plane, γ1 is indicated by the upper thin solid line, γ2 by the lower one. On the Ω−W plane, the FRC is plotted with the stable solution (blue solid line) and the unstable solution (red dashed line). The intersections between the Ω−W plane containing the FRC and the bifurcation curves on the Ω−γ plane indicate the expected values for the jump **frequencies**. (a) Region I, (b) Region II′, (c) Region IIIb, (d) Region IIIa′, (e) Region IV and (f) Region V. (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.)

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The same as Fig. 17, but for a monochromatic wave excitation of **frequency** f2=0.2Hz and amplitude A2=0.50m.
... **Oscillating** water column... The same as Fig. 18, but for a monochromatic wave excitation of **frequency** f2=0.2Hz and amplitude A2=0.50m.
... The same as Fig. 22, but for a monochromatic wave excitation of **frequency** f2=0.2Hz and amplitude A2=0.50m.
... The same as Fig. 3, but for different constant **frequency**, i.e., f2=0.05Hz.
... **Frequency**-amplitude domain... Maximum dynamic pressure, max(pD(t;Aexc,Texc)), against (mean wave elevation) **oscillation's** amplitude Aexc.

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