Oscillate

Oscillate refers to the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. The term vibration is precisely used to describe mechanical oscillation. Familiar examples of oscillation include a swinging pendulum and alternating current.

Physics

In physics, oscillation is a periodic fluctuation between two things based on changes in energy. Systems that exhibit mathematical oscillation are generally described by a linear second-order differential equation or a system of first-order differential equations. These equations are generically known as the Harmonic oscillator.

Biology

In biology, oscillation can refer to the periodic or cyclic fluctuation of certain biological functions or activities. A well-known example is the sleep-wake cycle, which is regulated by the circadian rhythm.

Mathematics

In mathematics, the term oscillation is used to describe a function or sequence that moves between two or more points. The precise definition varies based on the area of mathematics; in calculus, it refers to the difference between the limit superior and limit inferior as x approaches a particular point. In the study of dynamical systems, it refers to a stable periodic solution of a differential equation.

Electronics

In electronics, oscillators are crucial components of many devices, including clocks, radios, and computers. They generate a continuous wave signal at a specific frequency.

See Also

• Harmonic oscillator
• Oscillator (electronics)
• Oscillation (mathematics)
• Oscillations in biology

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