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Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
We study the bifurcation locus $B(f)$ of real polynomials $f: \bR^{2n} \to \bR^2$. We find a semialgebraic approximation of $B(f)$ by using the $\rho$-regularity condition and we compare it to the Sar...
Prevalent dynamics at the first bifurcation of Henon-like families
Prevalent dynamics Henon-like families
2010/11/23
We study the dynamics of strongly dissipative H\'enon-like maps, around the first bifurcation parameter $a^*$ at which the uniform hyperbolicity is destroyed by the formation of tangencies inside the ...
Stability and Bifurcation Analysis of Coupled Fitzhugh-Nagumo Oscillators
Coupled Fitzhugh-Nagumo Oscillators Hindmarsh-Rose Discriminant Variety Morris-Lecar
2010/4/1
Neurons are the central biological objects in understanding how the brain works. The famous Hodgkin-Huxley model, which describes how action potentials of a neuron are initiated and propagated, consis...