Pregled bibliografske jedinice broj: 218632
Fractal dimensions in dynamics
Fractal dimensions in dynamics // Encyclopedia of Mathematical Physics ; Vol 2 / Francoise, Jena-Piere ; Naber, Gregora L. ; Tsun, Tsou Sheung (ur.).
Oxford: Elsevier, 2006. str. 394-402
CROSBI ID: 218632 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Fractal dimensions in dynamics
Autori
Županović, Vesna ; Žubrinić, Darko
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, ostalo
Knjiga
Encyclopedia of Mathematical Physics ; Vol 2
Urednik/ci
Francoise, Jena-Piere ; Naber, Gregora L. ; Tsun, Tsou Sheung
Izdavač
Elsevier
Grad
Oxford
Godina
2006
Raspon stranica
394-402
ISBN
978-0-12-512660-1
Ključne riječi
box dimension, Hausdorff dimension, Henon attractor, horseshoe, hyperbolic measures, Julia set, limit cycle, Lorenz attractor, Lyapunov dimension, Mandelbrot set, Minkowski content and lacunarity, Navier-Stokes equation, porosity, thermodynamic formalism
Sažetak
This is an invited article for the Encyclopedia of Mathematical Physics, published by Elsevier in Oxford in 2006. We describe some basic methods of fractal analysis in dynamics. A special emphasis is on the computation of Hausdorff and box dimensions. In particular, we present dimension results for the logistic map, Smale horseshoe, Lorenz and Henon attractors, Julia and Mandelbrot sets, spiral trajectories, attractors appearing in infinite-dimensional systems, and Brownian motion trajectories.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
Enciklopedija je izašla u 5 svezaka ; upisani ISBN se odnosi na cjelinu.
