Pregled bibliografske jedinice broj: 324670
Oscillatory and phase dimensions of solutions of some second-order differential equations
Oscillatory and phase dimensions of solutions of some second-order differential equations // Bulletin des sciences mathématiques, 133 (2009), 8; 859-874 doi:10.1016/j.bulsci.2008.03.004 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 324670 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Oscillatory and phase dimensions of solutions of some second-order differential equations
Autori
Pašić, Mervan ; Žubrinić, Darko ; Županović, Vesna
Izvornik
Bulletin des sciences mathématiques (0007-4497) 133
(2009), 8;
859-874
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
nonlinear differential equation; nonlinear oscillations; box dimension; chirp; spiral; Lienard equation; weakly damped oscillator
Sažetak
In order to measure fractal oscillatority of solutions at $\infty$, we define oscillatory and phase dimensions of solutions of a class of second-order nonlinear differential equations. The relation between these two dimensions is found using formulas for box dimension of chirps and nonrectifiable spirals. Applications include the Lienard equation and weakly damped oscillators.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-0361621-1291 - Nelinearna analiza diferencijalnih jednadžbi i dinamičkih sustava (Pašić, Mervan, MZO ) ( CroRIS)
036-0361621-3012 - Napredne strategije upravljanja i estimacije u složenim sustavima (Perić, Nedjeljko, MZO ) ( CroRIS)
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:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
