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A gamma wave or gamma rhythm is a pattern of neural oscillation in humans with a frequency between 30 and 100 Hz, the 40 Hz point being of particular interest. [1] Gamma rhythms are correlated with large-scale brain network activity and cognitive phenomena such as working memory , attention , and perceptual grouping , and can be increased in ...
The limiter function is constrained to be greater than or equal to zero, i.e., (). Therefore, when the limiter is equal to zero (sharp gradient, opposite slopes or zero gradient), the flux is represented by a low resolution scheme.
This parcel is in an environment of other water or gas particles where the density of the environment is a function of height: = (). If the parcel is displaced by a small vertical increment z ′ {\displaystyle z'} , and it maintains its original density so that its volume does not change, it will be subject to an extra gravitational force ...
Magnetoencephalography (MEG) has been used to show that during conscious perception, gamma-band frequency electrical activity and thalamocortical resonance prominently occurs in the human brain. [2] Absence of these gamma-band patterns correlates with nonconscious states and is characterized by the presence of lower-frequency oscillations instead.
The reduced oscillation amplitude at an antiresonance can be regarded as due to destructive interference or cancellation of forces acting on the oscillator. In the above example, at the antiresonance frequency the external driving force F acting on oscillator 1 cancels the force acting via the coupling to oscillator 2, causing oscillator 1 to ...
The number of parameters in the Duffing equation can be reduced by two through scaling (in accord with the Buckingham π theorem), e.g. the excursion and time can be scaled as: [2] = and = /, assuming is positive (other scalings are possible for different ranges of the parameters, or for different emphasis in the problem studied).
Stronger excitation from sharp waves results in ripple oscillations, whereas weaker stimulations generate fast gamma patterns. [15] Besides they are shown to be region dependent, ripples that are the fastest oscillations are present in the CA1 region pyramidal cells while gamma oscillations dominate in CA3 region and parahippocampal structures.
The sinc function, the impulse response for an ideal low-pass filter, illustrating ringing for an impulse. The Gibbs phenomenon, illustrating ringing for a step function.. By definition, ringing occurs when a non-oscillating input yields an oscillating output: formally, when an input signal which is monotonic on an interval has output response which is not monotonic.