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Long-Time Stability of a Stably Stratified Rest State in the Inviscid 2D Boussinesq Equation. [PDF]
Arch Ration Mech AnalJurja C, Widmayer K.
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A transdiagnostic conflict-square algorithm: a four-node computational framework for psychotherapy and functional diagnosis. [PDF]
Front PsychiatryNiederlohmann E.
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Chaos in Iterated Function Systems
International Journal of Bifurcation and Chaos, 2020In the present paper, we study chaos in iterated function systems (IFS), namely dynamical systems with several generators. We introduce weak Li–Yorke chaos, chaos in branch, and weak topological chaos to perceive the role of branches to create chaos in an IFS. Moreover, we define another type of chaos, [Formula: see text]-chaos, on an IFS.
Maliheh Mohtashamipour +1 more
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Recurrent Iterated Function Systems
Constructive Approximation, 1989Recurrent iterated function systems generalize iterated function systems as introduced by the first author and \textit{S. Demko} [Proc. R. Soc. Lond., Ser. A 399, 243-275 (1985; Zbl 0588.28002)] in that a Markov chain (typically with some zeros in the transition probability matrix) is used to drive a system of maps \(w_ j:\) \(K\to K\), \(j=1,2,...,N\),
Michael F Barnsley
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Fractals, 2010
In 1969, Kannan1 gave the definition of a new mapping which had presented a condition which is more lenient than contraction condition. The purpose of this note is to introduce K-Iterated Function System using Kannan mapping which will cover a larger range of mappings. We also prove the Collage theorem for the K-Iterated Function System.
Sahu, D. R. +2 more
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In 1969, Kannan1 gave the definition of a new mapping which had presented a condition which is more lenient than contraction condition. The purpose of this note is to introduce K-Iterated Function System using Kannan mapping which will cover a larger range of mappings. We also prove the Collage theorem for the K-Iterated Function System.
Sahu, D. R. +2 more
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Iterated Function Systems, Iterated Multifunction Systems, and Applications
2008In the first part of the paper we recall the theory of iterated function systems and iterated multifunction systems. In the second part we show some applications in economics, statistics and finance.
C. Colapinto, D. La Torre
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Iterated function systems and dynamical systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1995We study the relationship between measures invariant for a piecewise expanding transformation τ of a compact metric space endowed with a underlying measure and measures invariant for an iterated function system Tτ, generated by inverse branches of τ. The main result says that the τ-invariant absolutely continuous measure μ is also Tτ invariant if and ...
Góra, Paweł, Boyarsky, Abraham
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Refinable functions, functionals, and iterated function systems
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Calabrò +3 more
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Infinite Iterated Function Systems
Mathematische Nachrichten, 1994AbstractWe examine iterated function systems consisting of a countably infinite number of contracting mappings (IIFS). We state results analogous to the well‐known case of finitely many mappings (IFS). Moreover, we show that IIFS can be approximated by appropriately chosen IFS both in terms of Hausdorff distance and of Hausdorff dimension.
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