Results 11 to 20 of about 2,816,546 (254)
Convective Turing patterns [PDF]
Physical Review Letters, 1993 Turing patterns involve regions of different chemical compositions which lead to density gradients that, in liquids, are potentially unstable hydrodynamically. Nonlinear hydrodynamics coupled with a model of Turing pattern formation show that convection modifies and coexists with some Turing patterns and excludes others, and thereby plays a significant
Vasquez, D. A. +2 more
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Hyperbolic Chaos of Turing Patterns [PDF]
Physical Review Letters, 2012 We consider time evolution of Turing patterns in an extended system governed by an equation of the Swift-Hohenberg type, where due to an external periodic parameter modulation long-wave and short-wave patterns with length scales related as 1:3 emerge in succession.
Kuptsov, Pavel V. +2 more
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Bifurcations and Turing patterns in a diffusive Gierer–Meinhardt model [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, the Hopf bifurcations and Turing bifurcations of the Gierer–Meinhardt activator-inhibitor model are studied. The very interesting and complex spatially periodic solutions and patterns induced by bifurcations are analyzed from both ...
Yong Wang, Mengping Guo, Weihua Jiang
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Turing Patterns in Deserts [PDF]
, 2012 Self-organised patterns of vegetation are a characteristic feature of many semi-arid regions. In particular, banded vegetation is typical on hillsides. Mathematical modelling is widely used to study these banded patterns, because there are no laboratory replicates.
Jonathan A. Sherratt +1 more
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The Pattern Dynamics of Propagation Models in Complex Networks [PDF]
EntropyBased on the detrimental impact of network rumors, we employ the Laplacian matrix to reconstruct a diffusion term and establish a rumor propagation model that extends from traditional physical space to cyberspace. In this paper, we analyze the occurrence
Xuerui Zhu +3 more
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Stochastic Turing patterns in a synthetic bacterial population. [PDF]
Proc Natl Acad Sci U S A, 2018 Karig D +5 more
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The Turing Way: A Handbook for Reproducible Data Science
, 2019 <p>Reproducible research is necessary to ensure that scientific work can be trusted. Funders and publishers are beginning to require that publications include access to the underlying data and the analysis code.
The Turing Way Community (6945962) +19 more
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Mathematics, 2023 With the rapid development of network science, Turing patterns on complex networks have attracted extensive attention from researchers. In this paper, we focus on spatial patterns in multiplex ER (Erdös-Rényi) random networks, taking the predator–prey ...
Lei Shi, Jiaying Zhou, Yong Ye
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Transient Turing patterns in a morphogenetic model
Frontiers in Physics, 2022 One of the most surprising mechanisms to explain the symmetry breaking phenomenon linked to pattern formation is known as Turing instabilities. These patterns are self-organising spatial structures resulting from the interaction of at least two diffusive
Nara Guisoni, Luis Diambra
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Turing Patterning in Stratified Domains [PDF]
Bulletin of Mathematical Biology, 2020 AbstractReaction–diffusion processes across layered media arise in several scientific domains such as pattern-formingE. colion agar substrates, epidermal–mesenchymal coupling in development, and symmetry-breaking in cell polarization. We develop a modeling framework for bilayer reaction–diffusion systems and relate it to a range of existing models.
Andrew L. Krause +6 more
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