Pregled bibliografske jedinice broj: 318737
Poincare map in fractal analysis of spiral trajectories of planar vector fields
Poincare map in fractal analysis of spiral trajectories of planar vector fields // Bulletin of the Belgian Mathematical Society - Simon Stevin, 15 (2008), 5; 947-960 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 318737 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Poincare map in fractal analysis of spiral trajectories of planar vector fields
Autori
Žubrinić, Darko ; Županović, Vesna
Izvornik
Bulletin of the Belgian Mathematical Society - Simon Stevin (1370-1444) 15
(2008), 5;
947-960
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Poincar\'e map; spiral; box dimension; flow-sector; Hopf bifurcation; Li\'enard system; weakly damped oscillator
Sažetak
We study the box dimension and Minkowski content of spiral trajectories of planar vector fields, using information about the asymptotic behaviour of iterates of the Poincar\'e map. An auxilliary tool is a flow-sector theorem near the weak focus, which is of a similar nature as the well known flow-box theorem. Applications include Hopf bifurcation, Li\'enard systems, and weakly damped oscillators. We obtain all possible values of box dimensions of spiral trajectories around weak focus, associated with polynomial vector fields.
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
