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Localized Turing and Turing-Hopf Patterns
1995In systems driven away from thermodynamic equilibrium, patchiness often arises through the occurrence of symmetry breaking bifurcations. Diffusive instabilities resulting from differential diffusion processes acting in the presence of some autocatalytic kinetic scheme enter that class of phenomena to produce stationary space periodic (Turing) or ...
Borckmans, Pierre +5 more
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Turing patterns in systems with high-order interactions
Chaos, Solitons and Fractals, 2023Vito Latora, Luca Gallo, Mattia Frasca
exaly
Turing Pattern Formation without Diffusion
2012Using the pigmentation pattern of zebrafish as the experimental system, we have been studying the mechanism of skin pattern formation. Recent findings of the cellular interactions among the two types of pigment cells, melanophores and xanthophores, are uncovering the cellular and molecular mechanisms.
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The hidden order of Turing patterns in arid and semi‐arid vegetation ecosystems
Proceedings of the National Academy of Sciences of the United States of America, 2023Zhenpeng Ge
exaly
Code, data and Lean 4 formalization are available in https://github.com/IKEDAKAZUKI/Quantum-Turing ...
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Turing-Turing bifurcation and multi-stable patterns in a Gierer-Meinhardt system
Applied Mathematical Modelling, 2022Hongbin Wang
exaly
Turing patterning and upper limb development
Journal of Hand Surgery (European Volume), 2022Wee Lam, Julia Oh, Megan G. Davey
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Edge rewiring for network Turing patterns
Chaos: An Interdisciplinary Journal of Nonlinear ScienceExtending a framework originally proposed by Cencetti et al. [Eur. Phys. J. B 90, 1 (2017)], we investigate a topological control mechanism for mediating Turing patterns on unweighted, undirected networks. Our primary contribution is proving boundedness results involved in targeted destabilization, in which we map Laplacian mode shifts to structural ...
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Spatiotemporal patterns induced by Turing and Turing-Hopf bifurcations in a predator-prey system
Applied Mathematics and Computation, 2020Ranchao Wu, Liping Chen, Mengxin Chen
exaly
Turing patterns of Gierer–Meinhardt model on complex networks
Nonlinear Dynamics, 2021Xinli Shi, Jinde Cao
exaly

