Keyword

fractals

Description: Mathematical structures with patterns repeated across scales, often characterized by non-integer dimension and applications across scientific fields.

Primary topic: Mathematical Dynamics and Fractals (27%)

Wikidata ID: wiki/Q81392

OpenAlex ID: keywords/fractals

The Fractal Geometry of Nature

1983 · Benoit B. Mandelbrot, John A. Wheeler · American Journal of Physics · 21,834

The Fractal Geometry of Nature.

1984 · Colin Sparrow, B. Mandelbrot · Journal of the Royal Statistical Society Series A (General) · 14,547

Self-organized criticality: An explanation of the 1/ f noise

1987 · Per Bak, Chao Tang, et al. · Physical Review Letters · 7,591

The Fractal Geometry of Nature

1982 · Benoît B. Mandelbrot, Paul Longley · CERN Document Server (European Organization for Nuclear Research) · 7,238

Fractal Geometry: Mathematical Foundations and Applications.

1990 · K. Falconer · Biometrics · 5,827

Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering

1994 · Steven Strogatz, Mark Friedman, et al. · Computers in Physics · 4,649

Fractal Concepts in Surface Growth

1995 · A.- L. Barabási, H. E. Stanley · Cambridge University Press eBooks · 3,918

Introduction to Percolation Theory

1985 · Dietrich Stauffer, Amnon Aharony · Taylor & Francis eBooks · 3,726

Fractals

1988 · Jens Feder · Springer eBooks · 3,599

Fractal Concepts in Surface Growth

1995 · Albert László Barabasi, H. Eugene Stanley, et al. · Physics Today · 3,290

Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering

1995 · Steven H. Strogatz, Ronald F. Fox · Physics Today · 2,583

Fractals: Form, Chance, and Dimension

1979 · B. B. Mandelbrot, Michael Aizenman · Physics Today · 2,157

Nonlinear Dynamics and Chaos

2018 · Steven H. Strogatz · CRC Press eBooks · 2,137

Density of states on fractals : « fractons »

1982 · S. Alexander, R. Orbach · Journal de Physique Lettres · 2,110

Scale issues in hydrological modelling: A review

1995 · G. Blöschl, M. Sivapalan · Hydrological Processes · 1,840

Diffusion in disordered media

1987 · Shlomo Havlin, Daniel Ben-Avraham · Advances In Physics · 1,815

Fractals and Fractional Calculus in Continuum Mechanics

1997 · CARPINTERI, Alberto, F. MAINARDI · Springer eBooks · 1,805

The infinite number of generalized dimensions of fractals and strange attractors

1983 · H.G.E. Hentschel, Itamar Procaccia · Physica D Nonlinear Phenomena · 1,802

Fractal Geometry

2003 · Kenneth Falconer · Wiley eBooks · 1,747

The Science of Fractal Images

1988 · Michael F. Barnsley, Robert L. Devaney, et al. · Springer eBooks · 1,617

Data Analysis Methods in Physical Oceanography

2014 · Elsevier eBooks · 1,597

Chaos and Fractals: New Frontiers of Science

1992 · Heinz‐Otto Peitgen, Hartmut Jürgens, et al. · 1,578

Chaos: An Introduction to Dynamical Systems

1997 · Kathleen T. Alligood, Tim D. Sauer, et al. · Physics Today · 1,456

Chaos and time-series analysis

2004 · Sprott, Julien Clinton · Choice Reviews Online · 1,401

Thermodynamics of Chaotic Systems

1993 · Christian Beck, Friedrich Schögl · Cambridge University Press eBooks · 1,384

Works count: 13,570

Citation count: 257,200