151 citations · 1.3k across the 47 of their papers we have counts for
3 papers · 2 filters
Snaking without subcriticality: grain boundaries as non-topological defects
Priya Subramanian, Andrew J. Archer, Edgar Knobloch +1
Non-topological defects such as grain boundaries abound in pattern forming systems, arising from local variations of pattern properties such as amplitude, wavelength, orientation,…
Stationary peaks in a multivariable reaction--diffusion system: Foliated snaking due to subcritical Turing instability
Edgar Knobloch, Arik Yochelis
An activator-inhibitor-substrate model of side-branching used in the context of pulmonary vascular and lung development is considered on the supposition that spatially localized co…
Patterns, localized structures and fronts in a reduced model of clonal plant growth
Daniel Ruiz-Reynes, Luis Martin, Emilio Hernandez-Garcia +2
A simplified model of clonal plant growth is formulated, motivated by observations of spatial structures in Posidonia oceanica meadows in the Mediterranean Sea. Two levels of appro…