Pregled bibliografske jedinice broj: 654309
Oscillatority of Fresnel integrals and chirp-like functions
Oscillatority of Fresnel integrals and chirp-like functions // Differential equations & applications, 5 (2013), 4; 527-547 doi:10.7153/dea-05-31 (međunarodna recenzija, pregledni rad, znanstveni)
CROSBI ID: 654309 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Oscillatority of Fresnel integrals and chirp-like functions
Autori
Resman, Maja ; Vlah, Domagoj ; Županović, Vesna
Izvornik
Differential equations & applications (1847-120X) 5
(2013), 4;
527-547
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, pregledni rad, znanstveni
Ključne riječi
box dimension ; oscillations ; Fresnel integral ; Bessel function ; clothoid ; chirp ; spiral ; wavy spiral
Sažetak
In this review article, we present results concerning fractal analysis of Fresnel and generalized Fresnel integrals. The study is related to computation of box dimension and Minkowski content of spirals defined parametrically by Fresnel integrals, as well as computation of box dimension of the graph of reflected component function which are chirp- like function. Also, we present some results about relationship between oscillatority of the graph of solution of differential equation, and oscillatority of a trajectory of the corresponding system in the phase space. We are concentrated on a class of differential equations with chirp-like solutions, and also spiral behavior in the phase space.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZO-ZP-036-0361621-1291 - Nelinearna analiza diferencijalnih jednadžbi i dinamičkih sustava (Pašić, Mervan, MZO ) ( CroRIS)
MZO-ZP-036-0363078-3018 - Upravljanje mobilnim robotima i vozilima u nepoznatim i dinamičkim okruženjima (Petrović, Ivan, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
