engleski

Wavy spirals and their fractal connection with chirps

We study the fractal oscillatory of a class of smooth real functions near infinity by connecting their oscillatory and phase dimensions, defined as the box dimension of their graphs and of the corresponding phase spirals, respectively. In particular, we introduce wavy spirals, which exhibit non- monotone radial convergence to the origin.

wavy spiral ; chirp ; box dimension ; Minkowski content ; oscillatory dimension ; phase dimension

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