1 citations · 1 across the 4 of their papers we have counts for
4 papers
Reading multiplicity in unfoldings from epsilon-neighborhoods of orbits
Renato Huzak, Pavao Mardešić, Maja Resman +1
We consider generic 1-parameter unfoldings of parabolic vector fields. It is known that the box dimension of orbits of their time-one maps is discontinuous at the bifurcation value…
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…
Characteristic box dimension of unit-time map near nilpotent singularity of planar vector field and applications
Lana Horvat Dmitrović, Vesna Županović
This article shows how box dimension of the unit-time map can be used in studying the multiplicity of nilpotent singularities of planar vector fields. Using unit-time map on the ch…
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…