Results 11 to 20 of about 167,256 (307)
Iterated function systems with overlaps [PDF]
Asian Journal of Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ai-Hua Fan, Sze-Man Ngai, Ka-Sing Lau
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Locally Contractive Iterated Function Systems [PDF]
The Annals of Probability, 1999 An iterated function system on \(X\subset \mathbb{R}^d\) is defined by successively applying and i.i.d. sequence of random Lipschitz functions from \(X\) to \(X\). This paper shows how \(F_n=f_1 \circ\cdots \circ f_n\) may converge even in the absence of the strong contraction conditions, for instance, Lipschitz constant smaller than 1 on average ...
David Steinsaltz
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Iterated Function Systems and Control Languages
Information and Computation, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Henning Fernau, Ludwig Staiger
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PERANCANGAN PERANGKAT LUNAK GENERATOR GAMBAR DAN MUSIK FRAKTAL DENGAN METODE ITERATED FUNCTION SYSTEM [PDF]
, 2007 Artikel menjelaskan analisis dan perancangan perangkat lunak yang dapat memanfaatkan geometri fraktal, khususnya fraktal iterated function system, sebagai seni.
Bayu, Riyadi +2 more
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THE CONLEY ATTRACTORS OF AN ITERATED FUNCTION SYSTEM [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractWe investigate the topological and metric properties of attractors of an iterated function system (IFS) whose functions may not be contractive. We focus, in particular, on invertible IFSs of finitely many maps on a compact metric space. We rely on ideas of Kieninger [Iterated Function Systems on Compact Hausdorff Spaces (Shaker, Aachen, 2002 ...
Barnsley, Michael, vince, Andrew
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Ends of iterated function systems [PDF]
Mathematische Zeitschrift, 2014 Guided by classical concepts, we define the notion of \emph{ends} of an iterated function system and prove that the number of ends is an upper bound for the number of nondegenerate components of its attractor. The remaining isolated points are then linked to idempotent maps.
Wolfram Hojka, Gregory R. Conner
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Existence of Picard operator and iterated function system
Applied General Topology, 2020 In this paper, we define weak θm− contraction mappings and give a new class of Picard operators for such class of mappings on a complete metric space. Also, we obtain some new results on the existence and uniqueness of attractor for a weak θm− iterated ...
Medha Garg, Sumit Chandok
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Generalized Iterated Function Systems on b-Metric Spaces
Mathematics, 2023 An iterated function system consists of a complete metric space (X,d) and a finite family of contractions f1,⋯,fn:X→X. A generalized iterated function system comprises a finite family of contractions defined on the Cartesian product Xm with values in X ...
Izabella Abraham, Radu Miculescu
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Inter-Intra Molecular Dynamics as an Iterated Function System [PDF]
, 2005 The dynamics of units (molecules) with slowly relaxing internal states is studied as an iterated function system (IFS) for the situation common in e.g. biological systems where these units are subjected to frequent collisional interactions.
Barnsley M. +15 more
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Sensitivity of iterated function systems [PDF]
Journal of Mathematical Analysis and Applications, 2019 The present work is concerned with the eqiucontinuity and sensitivity of iterated function systems (IFSs). Here, we consider more general case of IFSs, i.e. the IFSs generated by a family of relations. We generalize the concepts of transitivity, sensitivity and equicontinuity to these kinds of systems.
F.H. Ghane, E. Rezaali, A. Sarizadeh
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