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math.DS2023
Fractal analysis of hyperbolic saddles with applications
Vlatko Crnković, Renato Huzak, Maja Resman
In this paper we express the Minkowski dimension of spiral trajectories near hyperbolic saddles and semi-hyperbolic singularities in terms of the Minkowski dimension of intersectio…
math.DS2023
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…