18 citations · 34 across the 7 of their papers we have counts for
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math.CA2012★ 1 cited
Geometrical properties of a class of systems with spiral trajectories in R^3
Luka Korkut, Domagoj Vlah, Vesna Zupanovic
Here we study a class of second-order nonautonomous differential equations, and the corresponding planar and spatial systems, from the point of view of fractal geometry. The fracta…
math.CA2012★ 4 cited
Wavy spirals and their fractal connection with chirps
Luka Korkut, Domagoj Vlah, Darko Zubrinic +1
We study the fractal oscillatority of a class of real functions near . It is measured by oscillatory and phase dimensions, defined as box dimensions of the…
math.DS2012★ 3 cited
Box dimension of unit-time map near nilpotent singularity of planar vector field
Lana Horvat Dmitrovic, Vesna Zupanovic
The connection between discrete and continuous dynamical systems through the unit-time map has shown a significant role in bifurcation theory. Recently, it has also been used in fr…