Quantitative representation of nonrepetitive temporal behavior

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Abstract
Analytical representations suitable to analyze the nonrepetitive pulse‐like temporal behavior of physical quantities are derived. The representation utilizes solutions of a linear model equation in which the temporal variation is subject to time‐dependent driving and dissipative forces. The property of solutions is described, and it is shown that such representations can provide a basis for quantitative comparisons of behaviors and a basis for physically meaningful interpretations of the results. Observations of solar flares in the soft x‐ray flux have been analyzed with this method.

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