Results 31 to 40 of about 2,816,546 (254)
Turing pattern outside of the Turing domain
Applied Mathematics Letters, 2007 There are two simple solutions to reaction-diffusion systems with limit-cycle reaction kinetics, producing oscillatory behaviour. The reaction parameter mu gives rise to a 'space-invariant' solution, and mu versus the ratio of the diffusion coefficients gives rise to a 'time-invariant' solution.
E. H. Flach +2 more
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Turing patterns in three dimensions [PDF]
Physical Review E, 2007 We investigate three-dimensional Turing patterns in two-component reaction diffusion systems. The FitzHugh-Nagumo equation, the Brusselator, and the Gray-Scott model are solved numerically in three dimensions. Several interconnected structures of domains as well as lamellar, hexagonal, and spherical domains are obtained as stable motionless equilibrium
Shoji, H, Yamada, K, Ueyama, D, Ohta, T
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Spatiotemporal dynamics for a diffusive mussel–algae model near a Hopf bifurcation point
Advances in Difference Equations, 2021 In this paper, the Hopf bifurcation and Turing instability for a mussel–algae model are investigated. Through analysis of the corresponding kinetic system, the existence and stability conditions of the equilibrium and the type of Hopf bifurcation are ...
Shihong Zhong, Xuehan Cheng, Biao Liu
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Turing patterns in multiplex networks [PDF]
Physical Review E, 2014 The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The intra-layer diffusion constants act as small parameter in the expansion and the unperturbed state coincides with the limiting setting where the multiplex layers are decoupled.
ASLLANI, MALBOR +4 more
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Wavelength of a Turing-type mechanism regulates the morphogenesis of meshwork patterns
Scientific Reports, 2021 The meshwork pattern is a significant pattern in the development of biological tissues and organs. It is necessary to explore the mathematical mechanism of meshwork pattern formation.
Shan Guo, Ming-zhu Sun, Xin Zhao
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Fluctuation-driven Turing patterns [PDF]
Physical Review E, 2011 Minor changes to ...
Butler, Thomas, Goldenfeld, Nigel
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Discrete Dynamics in Nature and Society, 2020 The Turing pattern model is one of the theories used to describe organism formation patterns. Using this model, self-organized patterns emerge due to differences in the concentrations of activators and inhibitors. Here a cellular automata (CA)-like model
Takeshi Ishida
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Information Thermodynamics of Turing Patterns [PDF]
Physical Review Letters, 2018 5 pages, 3 ...
Falasco G., Rao R., Esposito M.
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The complexity of small universal Turing machines : a survey [PDF]
, 2009 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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Turing-Hopf patterns in a morphochemical model for electrodeposition with cross-diffusion
Applications in Engineering Science, 2021 This paper focuses on the impact of cross-diffusion for Turing-Hopf instability in a morphochemical model for electrodeposition (DIB) and completes the analysis on the role of cross-diffusion on pattern formation in electrodeposition we recently carried ...
Deborah Lacitignola +2 more
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