Authors: Michael Barnsley; Andrew Vince
Addresses: Mathematical Sciences Institute, The Australian National University, Canberra, ACT 0200, Australia ' Department of Mathematics, University of Florida, 438 Little Hall, P.O. Box 118105, Gainesville, FL 32611-8105, USA
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.
Keywords: iterated function systems; fractal transformation; bi-affine transformation; fractal homeomorphism.
International Journal of Applied Nonlinear Science, 2013 Vol.1 No.1, pp.3 - 19
Available online: 15 Mar 2013 *Full-text access for editors Access for subscribers Purchase this article Comment on this article