Phase portraits and bifurcation diagram of the Gray-Scott model
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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
Velocity–Amplitude Relationship in the Gray–Scott Autowave Model in Isolated Conditions
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DOI: 10.1021/acsomega.9b01338
Abstract: Velocity and amplitude are two basic characteristics of any autowave, and their relationship reflects the internal regulation of the autowave system. This study proposes an approach to approximately estimate steady velocity–amplitude (VA) relation without deriving… read more here.
Keywords: velocity amplitude; gray scott; model; isolated conditions ... See more keywords
Spatially localized structures in the Gray–Scott model
Sign Up to like & getrecommendations! 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