Some connections between the attractors of an IIFSand the attractors of the sub-IFSs of
β Scribed by Radu Miculescu, Loredana Ioana
- Book ID
- 119906503
- Publisher
- Springer International Publishing AG
- Year
- 2012
- Tongue
- English
- Weight
- 170 KB
- Volume
- 2012
- Category
- Article
- ISSN
- 1687-1820
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π SIMILAR VOLUMES
Fractal images defined by an iterated function system (IFS) are specified by a finite number of contractive affine transformations. In order to plot the attractor of an IFS on the screen of a digital computer, it is necessary to determine a bounding area for the attractor. Given a point on the plane
We consider the H enon maps. For jj is small and `0, there is a positive measure set of a-values near 2, the corresponding map exhibits a strange attractor K Y . In this paper, we construct a trapping region which contains K Y and prove this trapping is contained in the basin of K Y . Furthermore we