Turing Instability of Spatially Homogeneous Periodic Solutions in a Reaction–Diffusion Bimolecular Model
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10971
Abstract: In recent years, Turing instability in coupled reaction–diffusion systems has garnered extensive attention from numerous researchers. Nevertheless, the majority of extant studies primarily concentrate on the Turing instability of constant steady states, with comparatively few… read more here.
Keywords: turing instability; diffusion; periodic solutions; reaction diffusion ... See more keywords
The non-equilibrium basis of Turing Instability and localised biological work.
Sign Up to like & getrecommendations! Published in 2017 at "Progress in biophysics and molecular biology"
DOI: 10.1016/j.pbiomolbio.2017.04.002
Abstract: Turing's theory for biological pattern formation is based on the instability of the homogeneous state, which occurs if certain key criteria are met. The problem of how chemical energy is converted to localised biological work… read more here.
Keywords: biological work; turing instability; non equilibrium; localised biological ... See more keywords
Decoding Turing instability in the convergent and divergent system
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DOI: 10.1088/1367-2630/add204
Abstract: Turing instability plays a central role in the emergence of complex patterns in biological and physical systems. In this work, we present a novel framework that reveals how both convergent and divergent network dynamics can… read more here.
Keywords: convergent divergent; turing instability; divergent; decoding turing ... See more keywords
Turing instability-induced oscillations in coupled reaction–diffusion systems
Sign Up to like & getrecommendations! Published in 2024 at "Chinese Physics B"
DOI: 10.1088/1674-1056/ada42b
Abstract: A new type of localized oscillatory pattern is presented in a two-layer coupled reaction–diffusion system under conditions in which no Hopf instability can be discerned in either layer. The transitions from stationary patterns to asynchronous… read more here.
Keywords: turing instability; coupled reaction; reaction diffusion;
On Turing Instability in Nonhomogeneous Reaction-Diffusion CNN’s
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Circuits and Systems I: Regular Papers"
DOI: 10.1109/tcsi.2017.2701199
Abstract: Several results on instability in nonhomogeneous architectures able to generate Turing patterns are presented. The approach makes use of the continuity theorem regarding the dependence of polynomial roots on coefficients and of the root-locus techniques… read more here.
Keywords: instability nonhomogeneous; diffusion cnn; turing instability; reaction diffusion ... See more keywords
Turing Instability and Hopf Bifurcation in 2-D Coupled Cellular Neural Networks
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2025.3570972
Abstract: The dynamics of 2-D two-grid coupled cellular neural networks (CNNs) are considered. Assuming the boundary conditions of zero-flux type, the linearized model is analyzed by using the decoupling method, which is described as matrix operations,… read more here.
Keywords: coupled cellular; turing instability; cellular neural; neural networks ... See more keywords
Persistence and Turing instability in a cross-diffusive predator–prey system with generalist predator
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1676-x
Abstract: In this paper, we propose and investigate persistence and Turing instability of a cross-diffusion predator–prey system with generalist predator. First, by virtue of the comparison principle, we obtain sufficient conditions of persistence for a corresponding… read more here.
Keywords: system; diffusion; turing instability; cross ... See more keywords
Turing instability and Hopf bifurcation in a predator–prey model with delay and predator harvesting
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2211-4
Abstract: In this paper, we study a predator–prey model with delay and harvesting on predator. We give the conditions for stability and Turing instability of coexisting equilibrium by analyzing the eigenvalue spectrum. By using delay as… read more here.
Keywords: predator prey; prey model; turing instability; delay ... See more keywords