Results 31 to 40 of about 2,019 (179)
Fractal and FractionalIn this paper, we aim to solve the issue of pattern formation mechanisms in a spatiotemporally discrete activator–inhibitor model that incorporates self- and cross-diffusions.
You Li +4 more
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Concentric ring patterns beyond Turing instability
Physical Review Research, 2023 Various out-of-equilibrium physical systems exhibit concentric ring patterns. However, these patterns are expected to be unstable due to the interaction of spatial modes.
M. G. Clerc +3 more
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Spatiotemporal dynamics and Turing patterns in an eco-epidemiological model with cannibalism
Results in Control and Optimization, 2022 In this work, we have studied the spatiotemporal dynamics and pattern formation in an eco-epidemiological model with cannibalism, which are not explored in the existing literature.
Vikas Kumar +2 more
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Discrete Dynamics in Nature and Society, 2018 A spatiotemporal discrete predator-prey system with Allee effect is investigated to learn its Neimark-Sacker-Turing instability and pattern formation.
Huayong Zhang +4 more
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On the mechanisms for formation of segmented waves in active media [PDF]
Компьютерные исследования и моделирование, 2013 We suggest three possible mechanisms for formation of segmented waves and spirals. These structures were observed in the Belousov-Zhabotinsky reaction dispersed in a water-in-oil aerosol OT microemulsion.
Maria Yur'evna Borina, A. A. Polezhaev
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Turing instability in oscillator chains with nonlocal coupling [PDF]
Physical Review E, 2011 We investigate analytically and numerically the conditions for the Turing instability to occur in a one-dimensional chain of nonlinear oscillators coupled non-locally in such a way that the coupling strength decreases with the spatial distance as a power-law.
Viana, R. L. +2 more
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Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System
Mathematics, 2022 The Gierer-Meinhardt system is one of the prototypical pattern formation models. The bifurcation and pattern dynamics of a spatiotemporal discrete Gierer-Meinhardt system are investigated via the couple map lattice model (CML) method in this paper.
Biao Liu, Ranchao Wu
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Turing Patterning Using Gene Circuits with Gas-Induced Degradation of Quorum Sensing Molecules. [PDF]
PLoS ONE, 2016 The Turing instability was proposed more than six decades ago as a mechanism leading to spatial patterning, but it has yet to be exploited in a synthetic biology setting.
Bartłomiej Borek +2 more
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Turing Instability and Spatial Pattern Formation in a Model of Urban Crime
MathematicsA nonlinear crime model is generalized by introducing self- and cross-diffusion terms. The effect of diffusion on the stability of non-negative constant steady states is applied.
Isabella Torcicollo, Maria Vitiello
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Effect of a Membrane on Diffusion-Driven Turing Instability [PDF]
Acta Applicandae Mathematicae, 2022 Biological, physical, medical, and numerical applications involving membrane problems on different scales are numerous. We propose an extension of the standard Turing theory to the case of two domains separated by a permeable membrane. To this aim, we study a reaction-diffusion system with zero-flux boundary conditions on the external boundary and ...
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