2 papers
nlin.PS2020
Pulse replication and accumulation of eigenvalues
Paul Carter, Jens D. M. Rademacher, Björn Sandstede
Motivated by pulse-replication phenomena observed in the FitzHugh--Nagumo equation, we investigate traveling pulses whose slow-fast profiles exhibit canard-like transitions. We sho…
math.AP2018
Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems
Robbin Bastiaansen, Paul Carter, Arjen Doelman
In water-limited regions, competition for water resources results in the formation of vegetation patterns; on sloped terrain, one finds that the vegetation typically aligns in stri…