Results 21 to 30 of about 7,470 (228)
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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Turing mechanism underlying a branching model for lung morphogenesis. [PDF]
PLoS ONE, 2017 The mammalian lung develops through branching morphogenesis. Two primary forms of branching, which occur in order, in the lung have been identified: tip bifurcation and side branching.
Hui Xu, Mingzhu Sun, Xin Zhao
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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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Turing pattern with proportion preservation [PDF]
Journal of Theoretical Biology, 2006 Although Turing pattern is one of the most universal mechanisms for pattern formation, in its standard model the number of stripes changes with the system size, since the wavelength of the pattern is invariant: It fails to preserve the proportionality of the pattern, i.e., the ratio of the wavelength to the size, that is often required in biological ...
Ishihara, Shuji, Kaneko, Kunihiko
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Analysis of the Detuning Regulation of a Double-Pumped Microcavity
IEEE Photonics Journal, 2023 The detuning regulation of a double-pumped microcavity is investigated. In this paper, results show that one of the detuning parameters’ regulation facilitates dual-comb generation. When the other detuning parameter is selected appropriately, dual
X. Xu +4 more
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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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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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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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