Zobrazeno 1 - 10
of 8 448
pro vyhledávání: '"Ward Michael"'
In the asymptotic limit of a large diffusivity ratio, certain two-component reaction-diffusion (RD) systems can admit localized spike solutions on a 1-D finite domain in a far-from-equilibrium nonlinear regime. It is known that two distinct bifurcati
Externí odkaz:
http://arxiv.org/abs/2411.00763
Autor:
Pelz, Merlin, Ward, Michael J.
For a cell-bulk ODE-PDE model in $\mathbb{R}^2$, a hybrid asymptotic-numerical theory is developed to provide a new theoretical and computationally efficient approach for studying how oscillatory dynamics associated with spatially segregated dynamica
Externí odkaz:
http://arxiv.org/abs/2409.00623
Aperiodic autocorrelation is an important indicator of performance of sequences used in communications, remote sensing, and scientific instrumentation. Knowing a sequence's autocorrelation function, which reports the autocorrelation at every possible
Externí odkaz:
http://arxiv.org/abs/2308.07467
We analyze the existence, linear stability, and slow dynamics of localized 1D spike patterns for a Keller--Segel model of chemotaxis that includes the effect of logistic growth of the cellular population. Our analysis of localized patterns for this t
Externí odkaz:
http://arxiv.org/abs/2307.15896