Pregled bibliografske jedinice broj: 195311
Fractal analysis of spiral trajectories of some planar vector fields
Fractal analysis of spiral trajectories of some planar vector fields // Bulletin des sciences mathématiques, 129 (2005), 6; 457-485 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 195311 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Fractal analysis of spiral trajectories of some planar vector fields
Autori
Žubrinić, Darko ; Županović, Vesna
Izvornik
Bulletin des sciences mathématiques (0007-4497) 129
(2005), 6;
457-485
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Spiral; box dimension; Minkowski content; Minkowski measurability; planar vector field; Hopf-Takens bifurcation
Sažetak
We study box dimension, Minkowski content and Minkowski measurability of nonrectifiable, smooth spiral trajectories of some dynamical systems in the plane. From this point of view we consider a standard model of Hopf-Takens bifurcation and study the behaviour of trajectories near singular points and limit cycles.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
