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From Turing Instability to Fractals [PDF]
Complexity focuses on commonality across subject areas and forms a natural platform for multidisciplinary activities. Typical generic signatures of complexity include: (i) spontaneous occurrence of simple patterns (e.g. stripes, squares, hexagons) emerging as dominant nonlinear modes [1], and (ii) the formation of a highly complex pattern in the form ...
Huang, JG +4 more
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The Turing Way: A handbook for reproducible, ethical and collaborative research
The Turing Way is an open source community-driven guide to reproducible, ethical, inclusive and collaborative data science. The Turing Way book is collaboratively developed by its diverse community of researchers, learners, educators, and other ...
The Turing Way Community
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Turing instability in a boundary-fed system [PDF]
41 pages, 18 figures, to be published in Physical Review ...
Setayeshgar, S., Cross, M. C.
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Turing instabilities on Cartesian product networks [PDF]
AbstractThe problem of Turing instabilities for a reaction-diffusion system defined on a complex Cartesian product network is considered. To this end we operate in the linear regime and expand the time dependent perturbation on a basis formed by the tensor product of the eigenvectors of the discrete Laplacian operators, associated to each of the ...
ASLLANI, MALBOR +4 more
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Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
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Illustrations from The Turing Way: Shared under CC-BY 4.0 for reuse
Illustrations created by Scriberia as part of the Turing Way book dashes and illustration sprints in 2019 (two events in person), 2020 (one event in-person and one online), 2021 (two online), 2022 (Turing-Crick partnership project hybrid sprint, one Book
The Turing Way Community, Scriberia
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In this paper, a modified cross-diffusion Leslie–Gower predator–prey model with the Beddington–DeAngelis functional response is studied. We use the linear stability analysis on constant steady states to obtain sufficient conditions for the occurrence of ...
Marzieh Farshid, Yaghoub Jalilian
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A delayed diffusive predator-prey model with predator interference or foraging facilitation is studied. We are interested in the existence of Turing instability, local stability, and Hopf bifurcation. We analyze the direction and stability of bifurcating
Wenlong Wang, Zijun Liu, Ruizhi Yang
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Diffusion instability in a threevariable reaction-diffusion model [PDF]
Investigation of occurrence of diffusion instability in a set of three reaction-diffusion equations is carried out. In the general case the condition for both Turing and wave instabilities are obtained.
Maria Yur'evna Borina, A. A. Polezhaev
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The complexity of small universal Turing machines : a survey [PDF]
We survey some work concerned with small universal Turing machines, cellular automata, tag systems, and other simple models of computation. For example it has been an open question for some time as to whether the smallest known universal Turing machines ...
Woods, Damien, Neary, Turlough
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