Wavy spirals and their fractal connection with chirps
Vlah, Domagoj ; Korkut, Luka ; Žubrinić, Darko ; Županović, Vesna
Mathematical Communications, Tome 21 (2016) no. 1, p. 251-271 / Harvested from Mathematical Communications
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.
Publié le : 2016-06-26
Classification:  wavy spiral; chirp; box dimension; Minkowski content; oscillatory dimension; phase dimension,  37C45; 28A80
@article{mc1530,
     author = {Vlah, Domagoj and Korkut, Luka and \v Zubrini\'c, Darko and \v Zupanovi\'c, Vesna},
     title = {Wavy spirals and their fractal connection with chirps},
     journal = {Mathematical Communications},
     volume = {21},
     number = {1},
     year = {2016},
     pages = { 251-271},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1530}
}
Vlah, Domagoj; Korkut, Luka; Žubrinić, Darko; Županović, Vesna. Wavy spirals and their fractal connection with chirps. Mathematical Communications, Tome 21 (2016) no. 1, pp.  251-271. http://gdmltest.u-ga.fr/item/mc1530/