Phase portraits and bifurcation diagram of the Gray-Scott model
Sign Up to like & getrecommendations! 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
Validation of the bifurcation diagram in the 2D Ohta–Kawasaki problem
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinearity"
DOI: 10.1088/1361-6544/aa60e8
Abstract: We develop a rigorous numerical method to compare local minimizers of the Ohta–Kawasaki functional in two dimensions. In particular, we validate the phase diagram identifying regions of parameter space where rolls are favorable, where hexagonally… read more here.
Keywords: ohta kawasaki; diagram ohta; bifurcation diagram; diagram ... See more keywords
Bifurcation analysis of motoneuronal excitability mechanisms under normal and ALS conditions
Sign Up to like & getrecommendations! Published in 2023 at "Frontiers in Cellular Neuroscience"
DOI: 10.3389/fncel.2023.1093199
Abstract: Introduction Bifurcation analysis allows the examination of steady-state, non-linear dynamics of neurons and their effects on cell firing, yet its usage in neuroscience is limited to single-compartment models of highly reduced states. This is primarily… read more here.
Keywords: bifurcation; bifurcation analysis; excitability; model ... See more keywords