منابع مشابه
Similarity dimension for IFS-attractors
Moran’s Theorem is one of the milestones in Fractal Geometry. It allows the calculation of the similarity dimension of any (strict) self-similar set lying under the open set condition. Throughout a new fractal dimension we provide in the context of fractal structures, we generalize such a classical result for attractors which are required to satisfy no separation properties.
متن کاملWild Cantor Attractors Exist 3
In this paper we shall show that there exists a polynomial unimodal map f: 0; 1] ! 0; 1] with so-called Fibonacci dynamics which is non-renormalizable and in particular, for each x from a residual set, !(x) is equal to an interval; (here !(x) is deened to be the set of accumulation points of the sequence x; f(x); f 2 (x); : : :); for which the closure of the forward orbit of the critical point ...
متن کاملCantor sets
This paper deals with questions of how many compact subsets of certain kinds it takes to cover the space ω of irrationals, or certain of its subspaces. In particular, given f ∈ (ω\{0}), we consider compact sets of the form Q i∈ω Bi, where |Bi| = f(i) for all, or for infinitely many, i. We also consider “n-splitting” compact sets, i.e., compact sets K such that for any f ∈ K and i ∈ ω, |{g(i) : ...
متن کاملTime-delay Embeddings of Ifs Attractors
A modified type of iterated function system (IFS) has recently been shown to generate images qualitatively similar to “classical” chaotic attractors. Here, we use time-delay embedding reconstructions of time-series from this system to generate three-dimentional projections of IFS attractors. These reconstructions may be used to access the topological structure of the periodic orbits embedded wi...
متن کاملJulia Sets and Wild Cantor Sets
There exist uniformly quasiregular maps f : R → R whose Julia sets are wild Cantor sets.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2006
ISSN: 0166-8641
DOI: 10.1016/j.topol.2005.06.010