Results 241 to 250 of about 17,992 (265)

Iterated Function Systems

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.
openaire   +1 more source

GPU-accelerated iterated function systems

ACM SIGGRAPH 2005 Sketches on - SIGGRAPH '05, 2005
We 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].
openaire   +1 more source

Chaotic fuzzy iterated function systems

Journal of Intelligent & Fuzzy Systems
It 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
openaire   +1 more source

Automatic generation of iterated function systems

Computers & Graphics, 1994
Abstract 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
openaire   +1 more source

Iterated function systems for DNA replication

Physical Review E, 2017
The 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.
openaire   +2 more sources

From iterated function systems to iterated multifunction systems

2008
Starting 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
openaire   +1 more source

Topological pressure for an iterated function system

Dynamical Systems, 2021
Huoyun Wang
exaly  

Topological entropy pairs for an iterated function system

Journal of Mathematical Analysis and Applications, 2020
Huoyun Wang
exaly  

Generalized enriched cyclic contractions with application to generalized iterated function system

Chaos, Solitons and Fractals, 2022
Mujahid Abbas, Rizwan Anjum
exaly  

An application of Edelstein’s contraction principle: the attractor of a graph-directed generalized iterated function system

Journal of Fixed Point Theory and Applications, 2022
Radu Miculescu, Alexandru Mihail, Miculescu Radu   +2 more
exaly