Results 11 to 20 of about 116,098 (200)
Spikes for the gierer-meinhardt system with many segments of different diffusivities [PDF]
, 2008 We rigorously prove results on spiky patterns for the Gierer-Meinhardt system with a large number of jump discontinuities in the diffusion coefficient of the inhibitor.
Winter, M, Tse, W, Wei, J
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Boundary conditions cause different generic bifurcation structures in Turing systems [PDF]
, 2022 Turing’s theory of morphogenesis is a generic mechanism to produce spatial patterning from near homogeneity. Although widely studied, we are still able to generate new results by returning to common dogmas.
Woolley, Thomas
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Non-degenerate umbilics, the path formulation and gradient bifurcation problems [PDF]
, 2004 Parametrised contact-equivalence is successful for the understanding and classification of the qualitative local behaviour of bifurcation diagrams and their perturbations. Path formulation is an alternative point of view.
Sitta, AM, Furter, JE
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Mathematics, 2021 In this paper, a diffusive predator–prey system with a functional response that increases in both predator and prey densities is considered. By analyzing the characteristic roots of the partial differential equation system, the Turing instability and ...
Ruizhi Yang, Qiannan Song, Yong An
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Forced patterns near a Turing-Hopf bifurcation [PDF]
Physical Review E, 2010 We study time-periodic forcing of spatially-extended patterns near a Turing-Hopf bifurcation point. A symmetry-based normal form analysis yields several predictions, including that (i) weak forcing near the intrinsic Hopf frequency enhances or suppresses the Turing amplitude by an amount that scales quadratically with the forcing strength, and (ii) the
Topaz, C. M., Catlla, Anne J.
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Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Open Mathematics, 2022 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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The Turing Way: A handbook for reproducible, ethical and collaborative research
, 2021 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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Illustrations from The Turing Way: Shared under CC-BY 4.0 for reuse
, 2022 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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Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion
Advances in Difference Equations, 2019 In this paper, the Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion and Neumann boundary condition is considered. Firstly, we present a kind of double parameters selection method, which can be used to analyze the Turing ...
Qiushuang Shi, Ming Liu, Xiaofeng Xu
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Bifurcation Analysis of a Generic Reaction–Diffusion Turing Model [PDF]
International Journal of Bifurcation and Chaos, 2014 A generic Turing type reaction–diffusion system derived from the Taylor expansion near a constant equilibrium is analyzed. The existence of Hopf bifurcations and steady state bifurcations is obtained. The bifurcation direction and the stability of the bifurcating periodic obits are calculated.
Ping Liu +3 more
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