Articles with "scott model" as a keyword



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Phase portraits and bifurcation diagram of the Gray-Scott model

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Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2020.124840

Abstract: Abstract We give a complete classification of the phase portraits in the Poincar e ´ disk for the cubic polynomial systems x ˙ = 1 − x − a x y 2 , y ˙… read more here.

Keywords: bifurcation diagram; gray scott; phase portraits; scott model ... See more keywords
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Spatially localized structures in the Gray–Scott model

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Published in 2018 at "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences"

DOI: 10.1098/rsta.2017.0375

Abstract: Spatially localized structures in the one-dimensional Gray–Scott reaction–diffusion model are studied using a combination of numerical continuation techniques and weakly nonlinear theory, focusing on the regime in which the activator and substrate diffusivities are different… read more here.

Keywords: gray scott; structures gray; model; spatially localized ... See more keywords