Fractal Homeomorphism for Bi-affine Iterated Function Systems
Dynamical Systems
2011-10-24 v1
Abstract
The paper concerns fractal homeomorphism between the attractors of two bi-affine iterated function systems. After a general discussion of bi-affine functions, conditions are provided under which a bi-affine iterated function system is contractive, thus guaranteeing an attractor. After a general discussion of fractal homeomorphism, fractal homeomorphisms are constructed for a specific type of bi-affine iterated function system.
Cite
@article{arxiv.1110.4680,
title = {Fractal Homeomorphism for Bi-affine Iterated Function Systems},
author = {Michael Barnsley and Andrew Vince},
journal= {arXiv preprint arXiv:1110.4680},
year = {2011}
}