Results 211 to 220 of about 17,628 (268)

Emergence of Calabi-Yau manifolds in high-precision black-hole scattering. [PDF]

open access: yesNature
Driesse M   +7 more
europepmc   +1 more source

K-ITERATED FUNCTION SYSTEM

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
openaire   +2 more sources

Recurrent Iterated Function Systems

Constructive Approximation, 1989
Recurrent 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 \(w_ j:\) \(K\to K\), \(j=1,2,...,N\),
Barnsley, Michael F.   +2 more
openaire   +1 more source

Chaos in Iterated Function Systems

International Journal of Bifurcation and Chaos, 2020
In 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.
Mohtashamipour, Maliheh   +1 more
openaire   +1 more source

Iterated function systems and dynamical systems

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1995
We 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
openaire   +2 more sources

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