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About: Global mode     Goto   Sponge   NotDistinct   Permalink

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In mathematics and physics, a global mode of a system is one in which the system executes coherent oscillations in time. Suppose a quantity which depends on space and time is governed by some partial differential equation which does not have an explicit dependence on . Then a global mode is a solution of this PDE of the form , for some frequency . If is complex, then the imaginary part corresponds to the mode exhibiting exponential growth or exponential decay.