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FRACTAL OSCILLATION AND ITS FREQUENCY-AMPLITUDE PROPERTY

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When an oscillator vibrates in a porous medium or along an unsmooth surface, a fractal model can be adopted using the two-scale fractal derivative. This paper elucidates a simple but… Click to show full abstract

When an oscillator vibrates in a porous medium or along an unsmooth surface, a fractal model can be adopted using the two-scale fractal derivative. This paper elucidates a simple but effective method for fast and exclusive insight into the asymptotically periodic property at the initial stage and the extremely low frequency property when time tends to infinity. Some examples are illustrated to show the one-step solution process and the accurate results.

Keywords: amplitude property; property; oscillation frequency; frequency amplitude; frequency; fractal oscillation

Journal Title: Fractals
Year Published: 2021

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