Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• ISSN: 1815-0659
• Main Authors: Barnsley, M.F., Vince, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147148
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems / M.F. Barnsley, A. Vince // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 17 назв. — англ.

The fast basin of an attractor of an iterated function system (IFS) is the set of points in the domain of the IFS whose orbits under the associated semigroup intersect the attractor. Fast basins can have non-integer dimension and comprise a class of deterministic fractal sets. The relationship betwe...