Keyword

iterated function systems

Description: Mathematical systems formed by repeatedly applying a collection of functions, often used to construct self-similar fractals.

Primary topic: Mathematical Dynamics and Fractals (56%)

Wikidata ID: wiki/Q1502167

OpenAlex ID: keywords/iterated-function-systems

Fractal Geometry: Mathematical Foundations and Applications.

1990 · K. Falconer · Biometrics · 5,827

Fractals Everywhere

1988 · Michael F. Barnsley · 3,593

Multiple Lyapunov functions and other analysis tools for switched and hybrid systems

1998 · M.S. Branicky · IEEE Transactions on Automatic Control · 3,284

Iterated function systems and the global construction of fractals

1985 · M. F. Barnsley, S. Demko · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 957

Fractal functions and interpolation

1986 · Michael F. Barnsley · Constructive Approximation · 899

Fractal Functions and Wavelet Expansions Based on Several Scaling Functions

1994 · J.S. Geronimo, D.P. Hardin, et al. · Journal of Approximation Theory · 592

A fast algorithm to determine fractal dimensions by box counting

1989 · Larry S. Liebovitch, Tibor Toth · Physics Letters A · 514

The Science of Fractal Images

1989 · P. T. Landsberg, M. F. Barnsley, et al. · Leonardo · 509

Coupled fixed points of nonlinear operators with applications

1987 · Dajun Guo, V. Lakshmikantham · Nonlinear Analysis · 498

Dimensions and Measures in Infinite Iterated Function Systems

1996 · R. Daniel Mauldin, Mariusz Urbański · Proceedings of the London Mathematical Society · 404

An Introduction to Dynamical Systems: Continuous and Discrete

2004 · R. Clark Robinson · 375

Equilibrium States in Ergodic Theory

1998 · Gerhard Keller · Cambridge University Press eBooks · 374

The Hausdorff dimension of self-affine fractals

1988 · K. J. Falconer · Mathematical Proceedings of the Cambridge Philosophical Society · 354

Stability of switched and hybrid systems

2002 · M.S. Branicky · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · 347

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Fractal image compression

1993 · Guojun Lu · Signal Processing Image Communication · 335

The calculus of fractal interpolation functions

1989 · Michael F Barnsley, Andrew N Harrington · Journal of Approximation Theory · 278

Multifractal decompositions of Moran fractals

1992 · Robert Cawley, R.Daniel Mauldin · Advances in Mathematics · 276

Fractal Functions, Fractal Surfaces, and Wavelets

2016 · Elsevier eBooks · 274

On the structure of self-similar sets

1985 · Masayoshi Hata · Japan Journal of Applied Mathematics · 266

Hidden Variable Fractal Interpolation Functions

1989 · M. F. Barnsley, J. Elton, et al. · SIAM Journal on Mathematical Analysis · 226

Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities

1988 · Michael F. Barnsley, Stephen Demko, et al. · French digital mathematics library (Numdam) · 216

Multivalued fractals in b-metric spaces

2010 · Monica Boriceanu, Marius Bota, et al. · Open Mathematics · 200

Iterated function systems consisting of F-contractions

2013 · Nicolae-Adrian Secelean · Fixed Point Theory and Applications · 195

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Iterated function systems and permutation representations of the Cuntz algebra

1999 · Ola Bratteli, Palle E. T. Jorgensen · Memoirs of the American Mathematical Society · 194

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Application of Fractal Geometry to the Study of Networks of Fractures and Their Pressure Transient

1995 · Jorge A. Acuna, Yanis C. Yortsos · Water Resources Research · 191

Works count: 5,903

Citation count: 55,110