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In chemistry, a chemical oscillator is a complex mixture of reacting chemical compounds in which the concentration of one or more components exhibits periodic changes. They are a class of reactions that serve as an example of non-equilibrium thermodynamics with far-from-equilibrium behavior.
Climate oscillations that appear to follow a regular pattern but which do not have a fixed period are called quasiperiodic. [3] [4]Within a dynamical system such as the ocean-atmosphere system, oscillations may occur regularly when they are forced by a regular external forcing: for example, the familiar winter-summer cycle is forced by variations in sunlight from the (very close to perfectly ...
Oscillation is the repetitive or periodic variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples of oscillation include a swinging pendulum and alternating current. Oscillations can be used in physics to approximate complex interactions, such ...
In chemistry, pyramidal inversion (also umbrella inversion) is a fluxional process in compounds with a pyramidal molecule, such as ammonia (NH 3) "turns inside out". [1] [2] It is a rapid oscillation of the atom and substituents, the molecule or ion passing through a planar transition state. [3]
An oscillator is a physical system characterized by periodic motion, such as a pendulum, tuning fork, or vibrating diatomic molecule.Mathematically speaking, the essential feature of an oscillator is that for some coordinate x of the system, a force whose magnitude depends on x will push x away from extreme values and back toward some central value x 0, causing x to oscillate between extremes.
In general, the object will follow a non-periodic path on this torus, but it may follow a periodic path. The time taken for L {\displaystyle \mathbf {L} } to complete one cycle around its track in the body frame is constant, but after a cycle the body will have rotated by an amount that may not be a rational number of degrees, in which case the ...
In addition, in a physical application it might be reasonable or natural to replace a mathematical model, which is given in the form of the differential equation for ˙, with the corresponding averaged system ˙, in order to use the averaged system to make a prediction and then test the prediction against the results of a physical experiment.
Potential energy surface for silver depositing on an aluminium–palladium–manganese (Al–Pd–Mn) quasicrystal surface. Similar to Fig. 6 in Ref. [1] A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic.
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