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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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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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Iterated Functions Systems Music
Computer Music Journal, 1991As a new technique of computer-assisted composition, measures of attractors of iterated functions systems codes (Barnsley 1989) can be interpreted as musical scores. The technique is called here "IFS music." In some important respects, it appears to be more general and more powerful than previous methods for generating musical scores from fractals ...
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From iterated function systems to iterated multifunction systems
2008Starting from the original definitions of Iterated Function Systems (IFS) and Iterated Function Systems with Probabilities (IFSP) we introduce the notions of Iterated Multifunction Systems (IMS) and Iterated Multifunction Systems with Probabilities (IMSP).
H. Kunze, D. La Torre, E. R. Vrscay
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Generalized enriched cyclic contractions with application to generalized iterated function system
Chaos, Solitons and Fractals, 2022Mujahid Abbas, Rizwan Anjum
exaly
On the fractal operator of a mixed possibly infinite iterated function system
RACSAMBogdan-Cristian Anghelina +2 more
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Ergodic Shadowing Properties of Iterated Function Systems
Bulletin of the Malaysian Mathematical Sciences Society, 2020Huoyun Wang, Q. Liu
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Expansive Measures of Nonautonomous Iterated Function Systems
Qualitative Theory of Dynamical SystemsMengxin Cui, B. Selmi, Zhiming Li
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A graphical representation of protein based on a novel iterated function system
, 2014Tingting Ma +4 more
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