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These pathological oscillations often consist of an aberrant version of a normal oscillation. For example, one of the best known types is the spike and wave oscillation, which is typical of generalized or absence epileptic seizures, and which resembles normal sleep spindle oscillations.
A Hovmöller diagram is a common way of plotting meteorological data to highlight the behavior of waves, particularly tropical waves. The axes of Hovmöller diagrams depict changes over time of scalar quantities such as temperature , density , and other values of constituents in the atmosphere or ocean , such as depth, height, or pressure.
The transformation that allows this model to be solved exactly (at least in the N → ∞ limit) is as follows: . Define the "order" parameters r and ψ as = =. Here r represents the phase-coherence of the population of oscillators and ψ indicates the average phase.
The phase velocity is the rate at which the phase of the wave propagates in space. The group velocity is the rate at which the wave envelope, i.e. the changes in amplitude, propagates. The wave envelope is the profile of the wave amplitudes; all transverse displacements are bound by the envelope profile.
Oscillations are an important type of cell signaling characterized by the periodic change of the system in time. [1] Oscillations can take place in a biological system in a multitude of ways. Positive feedback loops , on their own or in combination with negative feedback are a common feature of oscillating biological systems.
For waves in discrete media, such as in computer simulations on a lattice, or in (nonlinear) solid-state systems, the wave vectors are quantized, and the normal modes can be called phonons. The Brillouin zone defines an upper bound on the wave vector, and waves can interact when they sum to integer multiples of the Brillouin vectors ( Umklapp ...
A modulated wave resulting from adding two sine waves of identical amplitude and nearly identical wavelength and frequency. A common situation resulting in an envelope function in both space x and time t is the superposition of two waves of almost the same wavelength and frequency: [2]
A pendulum wave is an elementary physics demonstration and kinetic art comprising a number of uncoupled simple pendulums with monotonically increasing lengths. As the pendulums oscillate, they appear to produce travelling and standing waves , beating , and random motion.