Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Zupanovic, P."'
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. Here, we expand asymptotically the Lebesgue measure of the epsilon-n
Externí odkaz:
http://arxiv.org/abs/2304.07914
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 with two zero eigenvalues (nilpotent or more degenerate) has been studied
Externí odkaz:
http://arxiv.org/abs/2109.15167
Autor:
Rodić, Lea Dujić, Županović, Tomislav, Perković, Toni, Šolić, Petar, Rodrigues, Joel J. P. C.
The IoT vision of ubiquitous and pervasive computing gives rise to future smart irrigation systems comprising physical and digital world. Smart irrigation ecosystem combined with Machine Learning can provide solutions that successfully solve the soil
Externí odkaz:
http://arxiv.org/abs/2011.08273
Autor:
Šolić, Petar, Kapetanović, Ante Lojić, Županović, Tomislav, Kovačević, Ivo, Perković, Toni, Popovski, Petar
In this paper an application for building sensor wallet is presented. Currently, given system collects sensor data from The Things Network (TTN) cloud system, stores the data into the Influx database and presents the processed data to the user dashbo
Externí odkaz:
http://arxiv.org/abs/2011.06861
Akademický článek
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Autor:
Zupanovic, Pasko, Kuic, Domagoj
Publikováno v:
J. Phys. Commun. 2 (2018) 045002
General relationship between mean Boltzmann entropy and Gibbs entropy is established. It is found that their difference is equal to fluctuation entropy, which is a Gibbs-like entropy of macroscopic quantities. The ratio of the fluctuation entropy and
Externí odkaz:
http://arxiv.org/abs/1804.06818
We study the class of parabolic Dulac germs of hyperbolic polycycles. For such germs we give a constructive proof of the existence of a unique Fatou coordinate, admitting an asymptotic expansion in the power-iterated log scale.
Comment: 31 pages
Comment: 31 pages
Externí odkaz:
http://arxiv.org/abs/1710.01268
We study polynomial planar systems with singularity of focus type without characteristic directions. Simple and natural transformation of weak focus has been used to obtain such degenerate focus. We compute the box dimension of a spiral trajectory, a
Externí odkaz:
http://arxiv.org/abs/1705.00372
We study geometrical representation of oscillatory integrals with an analytic phase function and a smooth amplitude with compact support. Geometrical properties of the curves defined by the oscillatory integral depend on the type of a critical point
Externí odkaz:
http://arxiv.org/abs/1609.00976
By Dulac maps we mean first return maps of hyperbolic polycycles of analytic planar vector fields. We study the fractal properties of the orbits of a parabolic Dulac map. To this end, we prove that it admits a Fatou coordinate with an asympotic expan
Externí odkaz:
http://arxiv.org/abs/1606.02581