Fractal Homeomorphism for Bi-affine Iterated Function Systems

Details Fractal Homeomorphism for Bi-affine Iterated Function Systems Fractal Homeomorphism for Bi-affine Iterated Function Systems

2011-10-21

arxiv.org/abs/1110.4680v1

Mathematics

Dynamical Systems

Scientific paper

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.

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