Fractal analysis of unbounded sets in Euclidean spaces and Lapidus zeta functions

G Radunović - 2015 - repozitorij.pmf.unizg.hr
Sažetak In this thesis, we consider relative fractal drums and their corresponding Lapidus
fractal zeta functions, as well as a generalization of this notions to the case of unbounded …

ε-neighbourhoods of orbits of parabolic diffeomorphisms and cohomological equations

M Resman - Nonlinearity, 2014 - iopscience.iop.org
-neighbourhoods of orbits, cohomological equations Page 1 Nonlinearity PAPER ε-neighbourhoods
of orbits of parabolic diffeomorphisms and cohomological equations To cite this article: Maja …

Box dimension of Neimark–Sacker bifurcation

L Horvat Dmitrović - Journal of difference equations and …, 2014 - Taylor & Francis
In this article we show how a change of a box dimension of orbits of two-dimensional
discrete dynamical systems is connected to their bifurcations in a non-hyperbolic fixed point …

Box dimension and Minkowski content of the clothoid

L Korkut, D Žubrinić, V Županović - Fractals, 2009 - World Scientific
BOX DIMENSION AND MINKOWSKI CONTENT OF THE CLOTHOID Page 1 Fractals, Vol. 17,
No. 4 (2009) 485–492 cO World Scientific Publishing Company BOX DIMENSION AND …

Nodal lines, ergodicity and complex numbers

S Zelditch - The European Physical Journal Special Topics, 2007 - Springer
This article reviews two rigorous results about the complex zeros of eigenfunctions of the
Laplacian, that is, the zeros of the analytic continuation of the eigenfunctions to the …

[PDF][PDF] Fixed points of diffeomorphisms, singularities of vector fields and epsilon-neighborhoods of their orbits

P Mardešić, V Županović - math.pmf.unizg.hr
In the thesis, we consider discrete dynamical systems generated by local diffeomorphisms in
a neighborhood of an isolated fixed point. Such discrete dynamical systems associate to …

Fixed points of diffeomorphisms, singularities of vector fields and epsilon-neighborhoods of their orbits, the thesis

M Resman - arXiv preprint arXiv:1311.2170, 2013 - arxiv.org
The thesis deals with recognizing diffeomorphisms from fractal properties of discrete orbits,
generated by iterations of such diffeomorphisms. The notion of fractal properties of a set …