### 25677 results for qubit oscillator frequency

Contributors: Z.K. Peng, Z.Q. Lang, S.A. Billings, Y. Lu

Date: 2007-11-01

The output **frequency** response of a nonlinear system.
...The restoring force of a bilinear **oscillator**.
...Resonances of G4H(j2ωF)
...Analysis of bilinear **oscillators** under harmonic loading using nonlinear output **frequency** response functions...The percentage of the whole energy that the superharmonic components contain at different frequencies for different stiffness ratios.
...Bilinear **oscillator**...The restoring force of a bilinear oscillator.
...Nonlinear output **frequency** response function...Bilinear **oscillator** model.
...Bilinear oscillator model.
...The output **frequency** response of a linear system.
...The polynomial approximation result for a bilinear **oscillator**
...The polynomial approximation result for a bilinear oscillator
...In this paper, the new concept of nonlinear output **frequency** response functions (NOFRFs) is extended to the harmonic input case, an input-independent relationship is found between the NOFRFs and the generalized **frequency** response functions (GFRFs). This relationship can greatly simplify the application of the NOFRFs. Then, beginning with the demonstration that a bilinear **oscillator** can be approximated using a polynomial-type nonlinear **oscillator**, the NOFRFs are used to analyse the energy transfer phenomenon of bilinear **oscillators** in the **frequency** domain. The analysis provides insight into how new **frequency** generation can occur using bilinear **oscillators** and how the sub-resonances occur for the bilinear **oscillators**, and reveals that it is the resonant **frequencies** of the NOFRFs that dominate the occurrence of this well-known nonlinear behaviour. The results are of significance for the design and fault diagnosis of mechanical systems and structures which can be described by a bilinear **oscillator** model. ... In this paper, the new concept of nonlinear output **frequency** response functions (NOFRFs) is extended to the harmonic input case, an input-independent relationship is found between the NOFRFs and the generalized **frequency** response functions (GFRFs). This relationship can greatly simplify the application of the NOFRFs. Then, beginning with the demonstration that a bilinear **oscillator** can be approximated using a polynomial-type nonlinear **oscillator**, the NOFRFs are used to analyse the energy transfer phenomenon of bilinear **oscillators** in the **frequency** domain. The analysis provides insight into how new **frequency** generation can occur using bilinear **oscillators** and how the sub-resonances occur for the bilinear **oscillators**, and reveals that it is the resonant **frequencies** of the NOFRFs that dominate the occurrence of this well-known nonlinear behaviour. The results are of significance for the design and fault diagnosis of mechanical systems and structures which can be described by a bilinear **oscillator** model.

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Contributors: Olivier Audouin, Jacques Bodin

Date: 2007-02-20

Extensive slug-test experiments have been performed at the Hydrogeological Experimental Site (HES) of Poitiers in France, made up of moderately fractured limestones. All data are publicly available through the “H+” database, developed within the scope of the ERO program (French Environmental Research Observatory, http://hplus.ore.fr). Slug-test responses with high-**frequency** (>0.12Hz) oscillations have been consistently observed in wells equipped with multiple concentric casing. These oscillations are interpreted as the result of inertia-induced fluctuations of the water level in the annular space between the inner and outer casing. In certain cases, these high-**frequency** oscillations overlap with lower **frequency** (**frequency** domain, in order to remove the high-**frequency** component by a signal-filtering method. The corrected signals have been interpreted with the model of [McElwee, C.D., Zenner, M., 1998. A nonlinear model for analysis of slug-test data. Water Resour. Res. 34 (1), 55–66.], which accounts for the inertia of the water-column above the well screen, non-linear head losses in the well, and neglects the aquifer storage (quasi-steady-state approximation). Hydraulic conductivity values interpreted from dual-**frequency** slug-tests compare well to those interpreted from “standard” overdamped or underdamped slug-test responses....Filter shape in the frequency domain for ρ=0.9.
...**Frequency** spectrum of the slug-test response in HES well M05, for an initial head displacement H0=0.2m (slug-test reference=STM5_02).
...Filtering of high-**frequency** **oscillations**: example of processing of the slug test STM5_02 (HES well M05, initial head displacement H0=0.2m).
...Curve fitting of HES slug-test responses with the model of McElwee and Zenner (1998).
...High-**frequency** **oscillations**...Opinion - Analysis of slug-tests with high-**frequency** oscillations...Filter shape in the **frequency** domain for ρ=0.9.
...Extensive slug-test experiments have been performed at the Hydrogeological Experimental Site (HES) of Poitiers in France, made up of moderately fractured limestones. All data are publicly available through the “H+” database, developed within the scope of the ERO program (French Environmental Research Observatory, http://hplus.ore.fr). Slug-test responses with high-**frequency** (>0.12Hz) **oscillations** have been consistently observed in wells equipped with multiple concentric casing. These **oscillations** are interpreted as the result of inertia-induced fluctuations of the water level in the annular space between the inner and outer casing. In certain cases, these high-**frequency** **oscillations** overlap with lower **frequency** (**oscillations**, which leads to complex responses that cannot be interpreted using conventional models. Slug-test data have been processed in the Fourier-**frequency** domain, in order to remove the high-**frequency** component by a signal-filtering method. The corrected signals have been interpreted with the model of [McElwee, C.D., Zenner, M., 1998. A nonlinear model for analysis of slug-test data. Water Resour. Res. 34 (1), 55–66.], which accounts for the inertia of the water-column above the well screen, non-linear head losses in the well, and neglects the aquifer storage (quasi-steady-state approximation). Hydraulic conductivity values interpreted from dual-**frequency** slug-tests compare well to those interpreted from “standard” overdamped or underdamped slug-test responses....Interpretation of high-frequency oscillations: inertia-induced water level fluctuations in the annular space between the inner PVC casing and the outer steel casing.
...Freq...Interpretation of high-**frequency** **oscillations**: inertia-induced water level fluctuations in the annular space between the inner PVC casing and the outer steel casing.
...High-**frequency** oscillations...Typical slug-test responses in HES wells. (a) “Standard” overdamped response; (b) “standard” underdamped response with low-**frequency** **oscillations**; (c) overdamped response with high-**frequency** **oscillations**; (d) underdamped response with dual-**frequency** **oscillations**.
...Typical slug-test responses in HES wells. (a) “Standard” overdamped** response**; (b) “standard” underdamped **response **with low-frequency oscillations; (c) overdamped **response **with high-frequency oscillations; (d) underdamped **response **with dual-frequency oscillations.
...Filtering of high-frequency oscillations: example of processing of the slug test STM5_02 (HES well M05, initial head displacement H0=0.2m).
... Extensive slug-test experiments have been performed at the Hydrogeological Experimental Site (HES) of Poitiers in France, made up of moderately fractured limestones. All data are publicly available through the “H+” database, developed within the scope of the ERO program (French Environmental Research Observatory, http://hplus.ore.fr). Slug-test responses with high-**frequency** (>0.12Hz) **oscillations** have been consistently observed in wells equipped with multiple concentric casing. These **oscillations** are interpreted as the result of inertia-induced fluctuations of the water level in the annular space between the inner and outer casing. In certain cases, these high-**frequency** **oscillations** overlap with lower **frequency** (<0.05Hz) **oscillations**, which leads to complex responses that cannot be interpreted using conventional models. Slug-test data have been processed in the Fourier-**frequency** domain, in order to remove the high-**frequency** component by a signal-filtering method. The corrected signals have been interpreted with the model of [McElwee, C.D., Zenner, M., 1998. A nonlinear model for analysis of slug-test data. Water Resour. Res. 34 (1), 55–66.], which accounts for the inertia of the water-column above the well screen, non-linear head losses in the well, and neglects the aquifer storage (quasi-steady-state approximation). Hydraulic conductivity values interpreted from dual-**frequency** slug-tests compare well to those interpreted from “standard” overdamped or underdamped slug-test responses.

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Contributors: Uwe Starossek

Date: 2015-01-01

Free **oscillation** response of pendulum mechanism.
...Free **oscillation** response...Low **frequency**...A low-**frequency** pendulum mechanism...A pendulum mechanism is presented whose natural **frequency** of **oscillation** is distinctly lower than that of a conventional pendulum of comparable size. Furthermore, its natural **frequency** is approximately proportional to its amplitude of **oscillation**. The mechanism can thus be tuned to extremely low **frequencies** by using small amplitudes. The undamped free **oscillation** response of the mechanism is studied. The derivation of the equation of motion is outlined for both large and, after neglecting higher order terms, small displacements. In both cases, a second-order nonlinear differential equation results. When higher order terms are neglected, the equation of motion is of simple form and can be solved symbolically in terms of a Jacobi elliptic function. Based on this solution, a closed-form expression for the natural **frequency** is derived and the characteristics of the free **oscillation** response are discussed....A pendulum mechanism is presented whose natural **frequency** of oscillation is distinctly lower than that of a conventional pendulum of comparable size. Furthermore, its natural **frequency** is approximately proportional to its amplitude of oscillation. The mechanism can thus be tuned to extremely low **frequencies** by using small amplitudes. The undamped free oscillation response of the mechanism is studied. The derivation of the equation of motion is outlined for both large and, after neglecting higher order terms, small displacements. In both cases, a second-order nonlinear differential equation results. When higher order terms are neglected, the equation of motion is of simple form and can be solved symbolically in terms of a Jacobi elliptic function. Based on this solution, a closed-form expression for the natural **frequency** is derived and the characteristics of the free oscillation response are discussed. ... A pendulum mechanism is presented whose natural **frequency** of **oscillation** is distinctly lower than that of a conventional pendulum of comparable size. Furthermore, its natural **frequency** is approximately proportional to its amplitude of **oscillation**. The mechanism can thus be tuned to extremely low **frequencies** by using small amplitudes. The undamped free **oscillation** response of the mechanism is studied. The derivation of the equation of motion is outlined for both large and, after neglecting higher order terms, small displacements. In both cases, a second-order nonlinear differential equation results. When higher order terms are neglected, the equation of motion is of simple form and can be solved symbolically in terms of a Jacobi elliptic function. Based on this solution, a closed-form expression for the natural **frequency** is derived and the characteristics of the free **oscillation** response are discussed.

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Contributors: Lucas C. Monteiro, A.V. Dodonov

Date: 2016-04-08

Anti-dynamical Casimir effect with an ensemble of **qubits**...We consider the interaction between a single cavity mode and N≫1 identical **qubits**, assuming that any system parameter can be rapidly modulated in situ by external bias. It is shown that, for the **qubits** initially in the ground states, three photons can be coherently annihilated in the dispersive regime for harmonic modulation with **frequency** 3ω0−Ω0, where ω0 (Ω0) is the bare cavity (**qubit**) **frequency**. This phenomenon can be called “Anti-dynamical Casimir effect”, since a pair of excitations is destroyed without dissipation due to the external modulation. For the initial vacuum cavity state, three **qubit** excitations can also be annihilated for the modulation **frequency** 3Ω0−ω0. ... We consider the interaction between a single cavity mode and N≫1 identical **qubits**, assuming that any system parameter can be rapidly modulated in situ by external bias. It is shown that, for the **qubits** initially in the ground states, three photons can be coherently annihilated in the dispersive regime for harmonic modulation with **frequency** 3ω0−Ω0, where ω0 (Ω0) is the bare cavity (**qubit**) **frequency**. This phenomenon can be called “Anti-dynamical Casimir effect”, since a pair of excitations is destroyed without dissipation due to the external modulation. For the initial vacuum cavity state, three **qubit** excitations can also be annihilated for the modulation **frequency** 3Ω0−ω0.

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Contributors: K.M. EL-Naggar

Date: 2009-06-01

Low-**frequency** oscillations in the interconnected power systems are observed all around the electrical grids. This paper presents a novel technique for analyzing the low-**frequency** oscillations in power system networks. The proposed technique is a dynamic estimator based on stochastic estimation theory which is suitable for estimating parameters on-line. The method uses digital set of measurements for power system swings to perform the analysis process digitally. The goal is to estimate the amount of damping in the swing curve as well as the oscillation **frequency**. The problem is formulated and presented as a stochastic dynamic estimation problem. The proposed technique is used to perform the estimation process. The algorithm tested using different study cases including practical data. Results are evaluated and compared to those obtained using other conventional methods to show the capabilities of the proposed method....Low-**frequency** **oscillations**...Low-**frequency** oscillations...Undamped swing curve: one **oscillation** mode.
...Un-damped swing curve with two **oscillation** modes: f1=0.4, f2=0.5Hz and σ1=−0.025, σ2=+0.037s−1.
...On-line measurement of low-**frequency** oscillations in power systems...Low-**frequency** **oscillations** in the interconnected power systems are observed all around the electrical grids. This paper presents a novel technique for analyzing the low-**frequency** **oscillations** in power system networks. The proposed technique is a dynamic estimator based on stochastic estimation theory which is suitable for estimating parameters on-line. The method uses digital set of measurements for power system swings to perform the analysis process digitally. The goal is to estimate the amount of damping in the swing curve as well as the **oscillation** **frequency**. The problem is formulated and presented as a stochastic dynamic estimation problem. The proposed technique is used to perform the estimation process. The algorithm tested using different study cases including practical data. Results are evaluated and compared to those obtained using other conventional methods to show the capabilities of the proposed method. ... Low-**frequency** **oscillations** in the interconnected power systems are observed all around the electrical grids. This paper presents a novel technique for analyzing the low-**frequency** **oscillations** in power system networks. The proposed technique is a dynamic estimator based on stochastic estimation theory which is suitable for estimating parameters on-line. The method uses digital set of measurements for power system swings to perform the analysis process digitally. The goal is to estimate the amount of damping in the swing curve as well as the **oscillation** **frequency**. The problem is formulated and presented as a stochastic dynamic estimation problem. The proposed technique is used to perform the estimation process. The algorithm tested using different study cases including practical data. Results are evaluated and compared to those obtained using other conventional methods to show the capabilities of the proposed method.

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Contributors: Yulia P. Emelianova, Alexander P. Kuznetsov, Ludmila V. Turukina, Igor R. Sataev, Nikolai Yu. Chernyshov

Date: 2014-04-01

Charts of the Lyapunov exponents for the four dissipatively coupled phase **oscillators** on the **frequency** detunings parameter plane (Δ1,Δ3). Values of the parameters are μ=0.4, (а) Δ2=0.4, (b) Δ2=2.4. Resonance conditions in the chain of **oscillators** are shown by arrows.
...A structure of the oscillation **frequencies** parameter space for three and four dissipatively coupled van der Pol **oscillators** is discussed. Situations of different codimension relating to the configuration of the full synchronization area as well as a picture of different modes in its neighborhood are revealed. An organization of quasi-periodic areas of different dimensions is considered. The results for the phase model and for the original system are compared....Full synchronization area for the four phase oscillators on the frequency detunings parameter space (Δ1,Δ2,Δ3).
...A structure of the **oscillation** **frequencies** parameter space for three and four dissipatively coupled van der Pol **oscillators** is discussed. Situations of different codimension relating to the configuration of the full synchronization area as well as a picture of different modes in its neighborhood are revealed. An organization of quasi-periodic areas of different dimensions is considered. The results for the phase model and for the original system are compared....Chart of the Lyapunov exponents for three coupled van der Pol oscillators on the frequency detunings parameter plane. Numbers correspond to cycle periods in the Poincaré section. Values of the parameters are λ=1,μ=0.4.
...Chart of the Lyapunov exponents for three coupled van der Pol **oscillators** on the **frequency** detunings parameter plane. Numbers correspond to cycle periods in the Poincaré section. Values of the parameters are λ=0.1,μ=0.04.
...A structure of the oscillation **frequencies** parameter space for the system of dissipatively coupled **oscillators**...Charts of the Lyapunov exponents for the four dissipatively coupled phase oscillators on the frequency detunings parameter plane (Δ1,Δ3). Values of the parameters are μ=0.4, (а) Δ2=0.4, (b) Δ2=2.4. Resonance conditions in the chain of oscillators are shown by arrows.
...Chart of the Lyapunov exponents for three coupled van der Pol oscillators on the frequency detunings parameter plane. Numbers correspond to cycle periods in the Poincaré section. Values of the parameters are λ=0.1,μ=0.04.
...Examples of phase portraits for the system (2). (a) Two-**frequency** resonance regime of the type 1:3 for Δ1=−1.5, Δ2=1, μ=0.6; (b) three-**frequency** regime for Δ1=−1, Δ2=1, μ=0.25.
...Chart of the Lyapunov exponents for three coupled van der Pol **oscillators** on the **frequency** detunings parameter plane. Numbers correspond to cycle periods in the Poincaré section. Values of the parameters are λ=1,μ=0.4.
...Examples of phase portraits for the system (2). (a) Two-frequency resonance regime of the type 1:3 for Δ1=−1.5, Δ2=1, μ=0.6; (b) three-frequency regime for Δ1=−1, Δ2=1, μ=0.25.
...Chain of van der Pol **oscillators**...Full synchronization area for the four phase **oscillators** on the **frequency** detunings parameter space (Δ1,Δ2,Δ3).
... A structure of the **oscillation** **frequencies** parameter space for three and four dissipatively coupled van der Pol **oscillators** is discussed. Situations of different codimension relating to the configuration of the full synchronization area as well as a picture of different modes in its neighborhood are revealed. An organization of quasi-periodic areas of different dimensions is considered. The results for the phase model and for the original system are compared.

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Contributors: Howan Leung, Cannon X.L. Zhu, Danny T.M. Chan, Wai S. Poon, Lin Shi, Vincent C.T. Mok, Lawrence K.S. Wong

Date: 2015-01-01

An example of the implantation schedule (patient #7) demonstrating areas with conventional frequency ictal patterns, ictal high-frequency oscillations, hyperexcitability, and radiological lesions.
...High-**frequency** oscillations (HFOs, 80–500Hz) from intracranial electroencephalography (EEG) may represent a biomarker of epileptogenicity for epilepsy. We explored the relationship between ictal HFOs and hyperexcitability with a view to improving surgical outcome....High-**frequency** **oscillations**...An example of the implantation schedule (patient #1) demonstrating areas with conventional **frequency** ictal patterns, ictal high-**frequency** **oscillations**, hyperexcitability, and radiological lesions.
...Summary table for statistical analysis. HFO=high frequency oscillations, CFIP=conventional frequency ictal patterns.
...An example of the implantation schedule (patient #7) demonstrating areas with conventional **frequency** ictal patterns, ictal high-**frequency** **oscillations**, hyperexcitability, and radiological lesions.
...High-**frequency** **oscillations** (HFOs, 80–500Hz) from intracranial electroencephalography (EEG) may represent a biomarker of epileptogenicity for epilepsy. We explored the relationship between ictal HFOs and hyperexcitability with a view to improving surgical outcome....Ictal high-**frequency** oscillations and hyperexcitability in refractory epilepsy...An example of the implantation schedule (patient #1) demonstrating areas with conventional frequency ictal patterns, ictal high-frequency oscillations, hyperexcitability, and radiological lesions.
...High-**frequency** oscillations...Summary table for statistical analysis. HFO=high **frequency** **oscillations**, CFIP=conventional **frequency** ictal patterns.
... High-**frequency** **oscillations** (HFOs, 80–500Hz) from intracranial electroencephalography (EEG) may represent a biomarker of epileptogenicity for epilepsy. We explored the relationship between ictal HFOs and hyperexcitability with a view to improving surgical outcome.

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Contributors: M.E. Leser, S. Acquistapace, A. Cagna, A.V. Makievski, R. Miller

Date: 2005-07-01

Apparent dilational elasticity modulus as a function of **oscillation** **frequency** for drops of water (♦), water/ethanol 86:14 (■), ethanol (▴), amplitude of volume **oscillations** 8%.
...Apparent dilational elasticity modulus as a function of oscillation **frequency** for drops of water (♦), water/ethanol 86:14 (■), ethanol (▴), amplitude of volume oscillations 8%.
...**Oscillating** drops and bubbles...Apparent dilational elasticity modulus as a function of oscillation **frequency** for drops of water (♦), water/ethanol 86:14 (■), ethanol (▴), amplitude of volume oscillations 2%.
...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%.
...Limits of oscillation **frequencies** in drop and bubble shape tensiometry...Apparent dilational elasticity modulus as a function of oscillation **frequency** for drops of silicon oil (●), paraffin oil (■), amplitude of volume oscillations 2%.
...Surface tension and apparent dilational elasticity modulus E as a function of **oscillation** **frequency** for an air bubble in pure water.
...Surface tension and apparent dilational elasticity modulus E as a function of **oscillation** **frequency** for a drop of pure water in air.
...Surface tension and apparent dilational elasticity modulus E as a function of oscillation **frequency** for an air bubble in pure water.
...To determine the dilational rheology of surface layers, the profile analysis tensiometry can be used with oscillating drops or bubbles. The methodology limits for these oscillations depend on the liquids’ properties, such as density, viscosity and surface tension. For the most frequently studied water/air interface, the maximum oscillation **frequency** is of the order of 1Hz, although much higher **frequencies** are technically feasible by the existing profile analysis tensiometers. For f>1Hz, deviations of the drops/bubbles from the Laplacian shape mimic non-zero dilational elasticities for the pure water/air and ethanol/air interface. For liquids of higher viscosity, the critical **frequency** is much lower....Surface tension and apparent dilational elasticity modulus E as a function of oscillation **frequency** for a drop of pure water in air.
...To determine the dilational rheology of surface layers, the profile analysis tensiometry can be used with **oscillating** drops or bubbles. The methodology limits for these **oscillations** depend on the liquids’ properties, such as density, viscosity and surface tension. For the most frequently studied water/air interface, the maximum **oscillation** **frequency** is of the order of 1Hz, although much higher **frequencies** are technically feasible by the existing profile analysis tensiometers. For f>1Hz, deviations of the drops/bubbles from the Laplacian shape mimic non-zero dilational elasticities for the pure water/air and ethanol/air interface. For liquids of higher viscosity, the critical **frequency** is much lower. ... To determine the dilational rheology of surface layers, the profile analysis tensiometry can be used with **oscillating** drops or bubbles. The methodology limits for these **oscillations** depend on the liquids’ properties, such as density, viscosity and surface tension. For the most frequently studied water/air interface, the maximum **oscillation** **frequency** is of the order of 1Hz, although much higher **frequencies** are technically feasible by the existing profile analysis tensiometers. For f>1Hz, deviations of the drops/bubbles from the Laplacian shape mimic non-zero dilational elasticities for the pure water/air and ethanol/air interface. For liquids of higher viscosity, the critical **frequency** is much lower.

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Contributors: Fatema F. Ghasia, Aasef G. Shaikh

Date: 2014-01-01

Most common eye movements, oblique saccades, feature rapid velocity, precise amplitude, but curved trajectory that is variable from trial-to-trial. In addition to curvature and inter-trial variability, the oblique saccade trajectory also features high-**frequency** oscillations. A number of studies proposed the physiological basis of the curvature and inter-trial variability of the oblique saccade trajectory, but kinematic characteristics of high-**frequency** oscillations are yet to be examined. We measured such oscillations and compared their properties with orthogonal pure horizontal and pure vertical oscillations generated during pure vertical and pure horizontal saccades, respectively. We found that the **frequency** of oscillations during oblique saccades ranged between 15 and 40 Hz, consistent with the **frequency** of orthogonal saccadic oscillations during pure horizontal or pure vertical saccades. We also found that the amplitude of oblique saccade oscillations was larger than pure horizontal and pure vertical saccadic oscillations. These results suggest that the superimposed high-**frequency** sinusoidal oscillations upon the oblique saccade trajectory represent reverberations of disinhibited circuit of reciprocally innervated horizontal and vertical burst generators....(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.
...(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.
...Most common eye movements, oblique saccades, feature rapid velocity, precise amplitude, but curved trajectory that is variable from trial-to-trial. In addition to curvature and inter-trial variability, the oblique saccade trajectory also features high-**frequency** **oscillations**. A number of studies proposed the physiological basis of the curvature and inter-trial variability of the oblique saccade trajectory, but kinematic characteristics of high-**frequency** **oscillations** are yet to be examined. We measured such **oscillations** and compared their properties with orthogonal pure horizontal and pure vertical **oscillations** generated during pure vertical and pure horizontal saccades, respectively. We found that the **frequency** of **oscillations** during oblique saccades ranged between 15 and 40 Hz, consistent with the **frequency** of orthogonal saccadic **oscillations** during pure horizontal or pure vertical saccades. We also found that the amplitude of oblique saccade **oscillations** was larger than pure horizontal and pure vertical saccadic **oscillations**. These results suggest that the superimposed high-**frequency** sinusoidal **oscillations** upon the oblique saccade trajectory represent reverberations of disinhibited circuit of reciprocally innervated horizontal and vertical burst generators....Source of high-**frequency** oscillations in oblique saccade trajectory...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.
... Most common eye movements, oblique saccades, feature rapid velocity, precise amplitude, but curved trajectory that is variable from trial-to-trial. In addition to curvature and inter-trial variability, the oblique saccade trajectory also features high-**frequency** **oscillations**. A number of studies proposed the physiological basis of the curvature and inter-trial variability of the oblique saccade trajectory, but kinematic characteristics of high-**frequency** **oscillations** are yet to be examined. We measured such **oscillations** and compared their properties with orthogonal pure horizontal and pure vertical **oscillations** generated during pure vertical and pure horizontal saccades, respectively. We found that the **frequency** of **oscillations** during oblique saccades ranged between 15 and 40 Hz, consistent with the **frequency** of orthogonal saccadic **oscillations** during pure horizontal or pure vertical saccades. We also found that the amplitude of oblique saccade **oscillations** was larger than pure horizontal and pure vertical saccadic **oscillations**. These results suggest that the superimposed high-**frequency** sinusoidal **oscillations** upon the oblique saccade trajectory represent reverberations of disinhibited circuit of reciprocally innervated horizontal and vertical burst generators.

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Contributors: Atsushi Tomeda, Shogo Morisaki, Kenichi Watanabe, Shigeki Kuroki, Isao Ando

Date: 2003-07-24

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 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.
...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.
...The 1H NMR spectrum of polyethylene thin film on an piezoelectric **oscillator** plate made of inorganic material was observed, which is oscillated with high **frequency** by application of AD electric current in the Hz–MHz range. From these experimental results, it is shown that dipolar interactions in solid polyethylene are remarkably reduced by high **frequency** oscillation and then the signal width of the crystalline component is significantly reduced with an increase in oscillation **frequency**. This means that the introduction of the high **frequency** oscillation for solids has large potentiality of obtaining the high resolution NMR spectrum....1H NMR signal narrowing of solid polymer by high **frequency** oscillation...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.
...The 1H NMR spectrum of polyethylene thin film on an piezoelectric **oscillator** plate made of inorganic material was observed, which is **oscillated** with high **frequency** by application of AD electric current in the Hz–MHz range. From these experimental results, it is shown that dipolar interactions in solid polyethylene are remarkably reduced by high **frequency** **oscillation** and then the signal width of the crystalline component is significantly reduced with an increase in **oscillation** **frequency**. This means that the introduction of the high **frequency** **oscillation** for solids has large potentiality of obtaining the high resolution NMR spectrum. ... The 1H NMR spectrum of polyethylene thin film on an piezoelectric **oscillator** plate made of inorganic material was observed, which is **oscillated** with high **frequency** by application of AD electric current in the Hz–MHz range. From these experimental results, it is shown that dipolar interactions in solid polyethylene are remarkably reduced by high **frequency** **oscillation** and then the signal width of the crystalline component is significantly reduced with an increase in **oscillation** **frequency**. This means that the introduction of the high **frequency** **oscillation** for solids has large potentiality of obtaining the high resolution NMR spectrum.

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