Results 171 to 180 of about 15,237 (204)
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D/A Converters and Iterated Function Systems
Nonlinear Dynamics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saito, Toshimichi +2 more
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Random iteration for infinite nonexpansive iterated function systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015We prove that the random iteration algorithm works for strict attractors of infinite iterated function systems. The system is assumed to be compactly branching and nonexpansive. The orbit recovering an attractor is generated by a deterministic process and the algorithm is always convergent.
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ON (n, m)-ITERATED FUNCTION SYSTEMS
Asian-European Journal of Mathematics, 2013One of the most common way to generate a fractal is by using an iterated function system (IFS). In this paper, we introduce an (n, m)-IFS, which is a collection of n IFSs and discuss the attractor of this system. Also we prove the continuity theorem and collage theorem for (n, m)-IFS.
Balu, Rinju, Mathew, Sunil
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2009
In the early 1980's, Michael Barnsley introduced the idea of synthesizing a predetermined image as the attractor of a chaotic process. Other researchers had previously shown that chaotic systems were capable of producing fascinating images known as strange attractors.
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In the early 1980's, Michael Barnsley introduced the idea of synthesizing a predetermined image as the attractor of a chaotic process. Other researchers had previously shown that chaotic systems were capable of producing fascinating images known as strange attractors.
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GPU-accelerated iterated function systems
ACM SIGGRAPH 2005 Sketches on - SIGGRAPH '05, 2005We describe GPUflame, an application that generates high quality renderings of iterated function system (IFS) fractals using graphics processing (GPU) hardware to accelerate both the computation and display of the final images. The application is inspired by Scott Drave’s “Fractal Flame” animations [Draves 2003].
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Chaotic fuzzy iterated function systems
Journal of Intelligent & Fuzzy SystemsIt is observed that IFSs are defined based on the concept that the iterates take only an integer number of times. This work studies the dynamics of functions, where a function can iterate r times for every r ∈ R. Utilizing concepts from fuzzy sets, r-times iterates of a function are defined for r ∈ R.
R. Selvy, P. B. Vinod Kumar
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Automatic generation of iterated function systems
Computers & Graphics, 1994Abstract A set of affine mappings with randomly chosen coefficients is repeatedly iterated numerically using the random iteration algorithm to produce an attractor with fractal characteristics. The attractor is tested for boundedness, sensitivity to initial conditions, and correlation dimension. In this way, a computer can generate a large collection
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Iterated function systems for DNA replication
Physical Review E, 2017The kinetic equations of DNA replication are shown to be exactly solved in terms of iterated function systems, running along the template sequence and giving the statistical properties of the copy sequences, as well as the kinetic and thermodynamic properties of the replication process.
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Generalized Iterated Function Systems on b-Metric Spaces
Mathematics, 2023Radu Miculescu, Miculescu Radu
exaly
Shadowing and average shadowing properties for iterated function systems
Georgian Mathematical Journal, 2015Alireza Zamani Bahabadi
exaly