Results 41 to 50 of about 32,500 (209)
Unstable subsystems cause Turing instability
Kodai Mathematical Journal, 2012 We study Turing instabilities in 3-component reaction-diffusion systems. The existence of a complementary pair of stable-unstable subsystems always gives rise to Turing instability for suitable diagonal diffusion matrices. There are two types of Turing instability, one called steady instability and the other wave instability.
Anma, Atsushi +2 more
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Mathematics, 2023 With the rapid development of network science, Turing patterns on complex networks have attracted extensive attention from researchers. In this paper, we focus on spatial patterns in multiplex ER (Erdös-Rényi) random networks, taking the predator–prey ...
Lei Shi, Jiaying Zhou, Yong Ye
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Competing Turing and Faraday instabilities in longitudinally modulated passive resonators [PDF]
, 2016 We experimentally investigate the interplay of Turing and Faraday (modulational) instabilities in a bistable passive nonlinear resonator. The Faraday branch is induced via parametric resonance owing to a periodic modulation of the resonator dispersion ...
Conforti, Matteo +4 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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Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems [PDF]
, 2012 Cellular gene expression is a complex process involving many steps, including the transcription of DNA and translation of mRNA; hence the synthesis of proteins requires a considerable amount of time, from ten minutes to several hours.
Baker, R. E. +4 more
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Approximate localised dihedral patterns near a turing instability
Nonlinearity, 2023 Abstract Fully localised patterns involving cellular hexagons or squares have been found experimentally and numerically in various continuum models. However, there is currently no mathematical theory for the emergence of these localised cellular patterns from a quiescent state.
Dan J Hill +2 more
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Stochastic Turing Patterns on a Network
, 2012 The process of stochastic Turing instability on a network is discussed for a specific case study, the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes, outside the region of ...
C. W. Gardiner +4 more
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Turbulent patterns in wall-bounded flows: a Turing instability? [PDF]
, 2012 In their way to/from turbulence, plane wall-bounded flows display an interesting transitional regime where laminar and turbulent oblique bands alternate, the origin of which is still mysterious.
Manneville, Paul
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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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