Results 41 to 50 of about 153,517 (179)
Robust minimality of iterated function systems with two generators
, 2013 We prove that any compact manifold without boundary admits a pair of diffeomorphisms that generates $C^1$ robustly minimal dynamics. We apply the results to the construction of blenders and robustly transitive skew product diffeomorphisms.Comment: 16 ...
Homburg, Ale Jan, Nassiri, Meysam
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On Weakly Hyperbolic Iterated Function Systems
Bulletin of the Brazilian Mathematical Society, New Series, 2016 Updated version.
Arbieto, Alexander +2 more
openaire +3 more sources
Rotation number and its properties for iterated function and non-autonomous systems
پژوهشهای ریاضی, 2017 The main purpose of this paper is to introduce the rotation number for non-autonomous and iterated function systems. First, we define iterated function systems and the lift of these types of systems on the unit circle.
Mehdi Fatehi Nia
doaj
Exiting measures for random walks on infinite rooted trees
Nonautonomous Dynamical SystemsWe consider conformal iterated function systems (CIFS) that are induced by an infinite rooted tree TT, which we call TT-conformal iterated function systems (TT-CIFS).
Takahashi Yuki
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Common Attractors of Generalized Hutchinson–Wardowski Contractive Operators
Fractal and FractionalThe aim of this paper is to obtain a fractal set of ℑ-iterated function systems comprising generalized ℑ-contractions. For a variety of Hutchinson–Wardowski contractive operators, we prove that this kind of system admits a unique common attractor ...
Bilal Iqbal +3 more
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, 2014 Local iterated function systems are an important generalisation of the standard (global) iterated function systems (IFSs). For a particular class of mappings, their fixed points are the graphs of local fractal functions and these functions themselves are
Barnsley, Michael F. +2 more
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Sampling and interpolation of cumulative distribution functions of Cantor sets in [0, 1]
Demonstratio Mathematica, 2021 Cantor sets are constructed from iteratively removing sections of intervals. This process yields a cumulative distribution function (CDF), constructed from the invariant Borel probability measure associated with their iterated function systems.
Byars Allison +5 more
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Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 We introduce the concept of iterated function system consisting of continuous functions satisfying Banach’s orbital condition and prove that the fractal operator associated to such a system is weakly Picard. Some examples are provided.
Miculescu Radu +2 more
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Fixed point theorems for nonlinear contractions with applications to iterated function systems
Applied General Topology, 2018 We introduce a new type of nonlinear contraction and present some fixed point results without using continuity or semi-continuity. Our result complement, extend and generalize a number of fixed point theorems including the the well-known Boyd and Wong ...
Rajendra Pant
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Mathematical Modeling of Fractals via Proximal F-Iterated Function Systems
AxiomsWe propose a novel approach to fractals by leveraging the approximation of fixed points, emphasizing the deep connections between fractal theory and fixed-point theory.
Muhammad Zahid +4 more
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