Keyword

pattern formation

Description: The emergence of organized spatial or temporal structures through interactions and self-organization in physical, chemical, and biological systems.

Primary topic: Nonlinear Dynamics and Pattern Formation (32%)

Wikidata ID: wiki/Q1955627

OpenAlex ID: keywords/pattern-formation

The chemical basis of morphogenesis

1952 · Alan Mathison Turing · Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 11,733

Self-Organization in Nonequilibrium Systems

1977 · G. Nìcolis, Ilya Prigogine · Medical Entomology and Zoology · 5,313

Initiation of slime mold aggregation viewed as an instability

1970 · Evelyn F. Keller, Lee A. Segel · Journal of Theoretical Biology · 3,656

Positional information and the spatial pattern of cellular differentiation

1969 · L. Wolpert · Journal of Theoretical Biology · 3,051

The synchronization of chaotic systems

2002 · S. Boccaletti, J. Kurths, et al. · Physics Reports · 2,782

Instabilities and pattern formation in crystal growth

1980 · J. S. Langer · Reviews of Modern Physics · 2,618

Dynamics of pattern formation in lateral-inhibition type neural fields

1977 · Shun-ichi Amari · Biological Cybernetics · 2,074

Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System

1970 · A. N. ZAIKIN, A. M. ZHABOTINSKY · Nature · 1,904

A user’s guide to PDE models for chemotaxis

2008 · T. Hillen, K. J. Painter · Journal of Mathematical Biology · 1,656

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Fractal Growth Phenomena

1989 · Tamás Vicsek, Harvey Gould · Computers in Physics · 1,611

Controls of Hair Follicle Cycling

2001 · K. S. Stenn, R. Paus · Physiological Reviews · 1,521

Cellular automata as models of complexity

1984 · Stephen Wolfram · Nature · 1,506

Evolutionary dynamics of group interactions on structured populations: a review

2013 · Matjaž Perc, Jesús Gómez-Gardeñes, et al. · Journal of The Royal Society Interface · 1,375

Chaos and Nonlinear Dynamics

2000 · Robert C. Hilborn · 1,374

Reactions at Surfaces: From Atoms to Complexity (Nobel Lecture)

2008 · Gerhard Ertl · Angewandte Chemie International Edition · 1,358

Pattern formation in drying drops

2000 · Robert D. Deegan · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1,298

Fractal Growth Phenomena

1992 · Tamás Vicsek · WORLD SCIENTIFIC eBooks · 1,294

Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern

1990 · V. Castets, E. Dulos, et al. · Physical Review Letters · 1,236

Complexity, Pattern, and Evolutionary Trade-Offs in Animal Aggregation

1999 · Julia K. Parrish, Leah Edelstein-Keshet · Science · 1,229

Synergetics

1978 · Hermann Haken · Springer series in synergetics · 1,195

Physical Review Letters

1988 · Richard C. Brewer, David A. Kessler, et al. · Elsevier eBooks · 1,182

Synchronization in complex networks of phase oscillators: A survey

2014 · Florian Dörfler, Francesco Bullo · Automatica · 1,153

Domain Shapes and Patterns: The Phenomenology of Modulated Phases

1995 · Michael Seul, David Andelman · Science · 1,142

Active Brownian particles

2012 · P. Romanczuk, M. Bär, et al. · The European Physical Journal Special Topics · 1,131

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Self-organization in biological systems

2002 · Choice Reviews Online · 1,124

Works count: 31,830

Citation count: 596,200