Fractal homeomorphism for bi-affine iterated function systems
by Michael Barnsley; Andrew Vince
International Journal of Applied Nonlinear Science (IJANS), Vol. 1, No. 1, 2013

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.

Online publication date: Wed, 30-Jul-2014

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