Results 31 to 40 of about 10,817,835 (359)
On the iteration of rational functions [PDF]
Transactions of the American Mathematical Society, 1920 Notes on the iteration of rational functions have been published in the C o m p t e s R e n d u s during the last few years by Julia, Fatou, Lattes, and myself.t Many of the results announced were obtained independently by more than one writer, the priority in such cases seeming to belong to Julia.
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Algorithms generating images of attractors of generalized iterated function systems [PDF]
Numerical Algorithms, 2016 The paper is devoted to searching algorithms which will allow to generate images of attractors of generalized iterated function systems (GIFS in short), which are certain generalization of classical iterated function systems, defined by Mihail and ...
P. Jaros, L. Maslanka, F. Strobin
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International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
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The structure of fuzzy fractals generated by an orbital fuzzy iterated function system
Demonstratio Mathematica, 2023 In this article, we present a structure result concerning fuzzy fractals generated by an orbital fuzzy iterated function system ((X,d),(fi)i∈I,(ρi)i∈I)\left(\left(X,d),{({f}_{i})}_{i\in I},{\left({\rho }_{i})}_{i\in I}). Our result involves the following
Savu Irina +2 more
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Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
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Equilibrium states of generalised singular value potentials and applications to affine iterated function systems [PDF]
, 2017 We completely describe the equilibrium states of a class of potentials over the full shift which includes Falconer’s singular value function for affine iterated function systems with invertible affinities.
J. Bochi, I. Morris
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Iteration and Iterative Roots of Fractional Polynomial Function [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 Iteration is involved in the fields of dynamical systems and numerical computation and so forth. The computation of iteration is difficult for general functions (even for some simple functions such as linear fractional functions). In this paper, we discuss fractional polynomial function and use the method of conjugate similitude to obtain its ...
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Persistence landscapes of affine fractals
Demonstratio Mathematica, 2022 We develop a method for calculating the persistence landscapes of affine fractals using the parameters of the corresponding transformations. Given an iterated function system of affine transformations that satisfies a certain compatibility condition, we ...
Catanzaro Michael J. +2 more
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Wavelets for iterated function systems
Journal of Functional Analysis, 2010 17 pages, 3 ...
Jana Bohnstengel, Marc Kesseböhmer
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Iterated Function Systems on Multifunctions [PDF]
, 2007 We introduce a method of iterated function systems (IFS) over the space of set-valued mappings (multifunctions). This is done by first considering a couple of useful metrics over the space of multifunctions F(X,Y). Some appropriate IFS-type fractal transform operators T:F(X,Y)->F(X,Y) are then defined which combine spatially-contracted and range ...
D. La Torre, F. Mendivil, E. Vrscay
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