Original scientific paper

Wavy spirals and their fractal connection with chirps

Domagoj Vlah ; Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, Croatia
Luka Korkut ; Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, Croatia
Darko Žubrinić ; Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, Croatia
Vesna Županović ; Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, Croatia

Abstract

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.

Keywords

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

Hrčak ID:

170388

URI

https://hrcak.srce.hr/170388

Publication date:

11.11.2016.

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