Results 41 to 50 of about 32,448 (189)
New Journal of Physics, 2023 This paper examines the Turing patterns and the spatio-temporal chaos of non-autonomous systems defined on hypergraphs. The analytical conditions for Turing instability and Benjamin–Feir instability are obtained by linear stability analysis using new ...
Wen Wang, Shutang Liu
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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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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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Reaction-diffusion models for biological pattern formation [PDF]
, 2001 We consider the use of reaction-diffusion equations to model biological pattern formation and describe the derivation of the reaction-terms for several illustrative examples.
Crampin, E. J., Maini, P. K.
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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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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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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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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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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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, 2013 Cooperative behaviors arising from bacterial cell-to-cell communication can be modeled by reaction-diffusion equations having only a single diffusible component.
Hara, Shinji +2 more
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