15 citations · 15 across the 4 of their papers we have counts for
4 papers
The box dimension of degenerate spiral trajectories of a class of ordinary differential equations
Renato Huzak, Domagoj Vlah, Darko Žubrinić +1
In this paper we initiate the study of the box dimension of degenerate spiral trajectories of a class of ordinary differential equations. A class of singularities of focus type wit…
Maximally singular solutions of Laplace equations
J. P. Milišić, D. Žubrinić
It is known that there exists an explicit function in , where is a given bounded open subset of , such that the corresponding weak solution of the Lap…
Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension
Michel L. Lapidus, John A. Rock, Darko Žubrinić
We discuss a number of techniques for determining the Minkowski dimension of bounded subsets of some Euclidean space of any dimension, including: the box-counting dimension and equ…
Box dimension of trajectories of some discrete dynamical systems
Neven Elezović, Vesna Županović, Darko Žubrinić
We study the asymptotics, box dimension, and Minkowski content of trajectories of some discrete dynamical systems. We show that under very general conditions, trajectories correspo…