Fractal homeomorphism for bi-affine iterated function systems
暂无分享,去创建一个
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.
[1] M. Barnsley. Transformations Between Fractals , 2009 .
[2] Michael F. Barnsley. Transformations between Self-Referential Sets , 2009, Am. Math. Mon..
[3] M. Barnsley,et al. A Characterization of Hyperbolic Affine Iterated Function Systems , 2009, 0908.1416.