3 papers
nlin.CD2019
Weakly Nonlinear Theory for Oscillatory Dynamics in a One-Dimensional PDE-ODE Model of Membrane Dynamics Coupled by a Bulk Diffusion Field
Frédéric Paquin-Lefebvre, Wayne Nagata, Michael J. Ward
We study the dynamics of systems consisting of two spatially segregated ODE compartments coupled through a one-dimensional bulk diffusion field. For this coupled PDE-ODE system, we…
math.DS2018
Pattern Formation in a Slowly Flattening Spherical Cap: Delayed Bifurcation
Laurent Charette, Colin B. Macdonald, Wayne Nagata
This article describes a reduction of a nonautonomous Brusselator reaction-diffusion system of partial differential equations on a spherical cap with time dependent curvature using…
nlin.PS2018
Pattern Formation and Oscillatory Dynamics in a Two-Dimensional Coupled Bulk-Surface Reaction-Diffusion System
Frédéric Paquin-Lefebvre, Wayne Nagata, Michael J. Ward
On a two-dimensional circular domain, we analyze the formation of spatio-temporal patterns for a class of coupled bulk-surface reaction-diffusion models for which a passive diffusi…