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Keyword

Turing instability

Description: A pattern-forming instability in reaction-diffusion systems, in which spatially uniform states become unstable and develop nonuniform structures.
OpenAlex ID: keywords/turing-instability
Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
2010 · Shigeru Kondo, Takashi Miura · Science · 1,679
The Mathematics of Diffusion
2011 · Wei-Ming Ni · Society for Industrial and Applied Mathematics eBooks · 1,068
Complex Patterns in a Simple System
1993 · John E. Pearson · Science · 1,000
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Regular and Irregular Patterns in Semiarid Vegetation
1999 · Christopher A. Klausmeier · Science · 995
Ecological morphology: Integrative organismal biology
1995 · Barry Sinervo · Trends in Ecology & Evolution · 909
Dissipative structure: An explanation and an ecological example
1972 · Lee A. Segel, Julius L. Jackson · Journal of Theoretical Biology · 713
Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames
1982 · Pierre Pelce, Paul Clavin · Journal of Fluid Mechanics · 553
Perspectives of Nonlinear Dynamics
1989 · E. Atlee Jackson · Cambridge University Press eBooks · 530
Turing patterns in network-organized activator–inhibitor systems
2010 · Hiroya Nakao, Alexander S. Mikhailov · Nature Physics · 444
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Hypothesis for origin of planktonic patchiness
1976 · SIMON A. LEVIN, LEE A. SEGEL · Nature · 415
On Symmetry-Breaking Instabilities in Dissipative Systems
1967 · I. Prigogine, G. Nicolis · The Journal of Chemical Physics · 413
Wave-Pinning and Cell Polarity from a Bistable Reaction-Diffusion System
2008 · Yoichiro Mori, Alexandra Jilkine, et al. · Biophysical Journal · 408
Phytoplankton patchiness: the role of lateral stirring and mixing
2003 · A.P. Martin · Progress In Oceanography · 375
A Pre-pattern formation mechanism for animal coat markings
1981 · J.D. Murray · Journal of Theoretical Biology · 367
Instabilities in spatially extended predator–prey systems: Spatio-temporal patterns in the neighborhood of Turing–Hopf bifurcations
2006 · Martin Baurmann, Thilo Gross, et al. · Journal of Theoretical Biology · 361
Local Activity Is the Origin of Complexity
2005 · LEON O. CHUA · International Journal of Bifurcation and Chaos · 327
Pattern formation and competition in nonlinear optics
1999 · F.Tito Arecchi, Stefano Boccaletti, et al. · Physics Reports · 327
Fractional reaction–diffusion
2000 · B.I Henry, S.L Wearne · Physica A Statistical Mechanics and its Applications · 326
Instability and dynamic pattern in cellular networks
1971 · H.G. Othmer, L.E. Scriven · Journal of Theoretical Biology · 321
Symmetry-Breaking Polarization Driven by a Cdc42p GEF-PAK Complex
2008 · Lukasz Kozubowski, Koji Saito, et al. · Current Biology · 240
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Chemical instability induced by a differential flow
1992 · Arkady B. Rovinsky, Michael Menzinger · Physical Review Letters · 219
Theoretical Problems in Cavity Nonlinear Optics
1997 · Paul Mandel · Cambridge University Press eBooks · 211
Diffusion-induced chaos in a spatial predator–prey system
1993 · Mercedes Pascual · Proceedings of the Royal Society B Biological Sciences · 210
A Mass Conserved Reaction–Diffusion System Captures Properties of Cell Polarity
2007 · Mikiya Otsuji, Shuji Ishihara, et al. · PLoS Computational Biology · 203
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Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
2002 · B. I. Henry, S. L. Wearne · SIAM Journal on Applied Mathematics · 203
Works count: 3,760
Citation count: 55,760
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