37 citations · 132 across the 15 of their papers we have counts for
4 papers · 1 filter
Pattern Formation with Two Length Scales: Spatiotemporal Chaos
Laura Pinkney, Alastair M. Rucklidge, Cedric Beaume
Three-wave interactions (or resonant triads) are the lowest-order nonlinear interaction in pattern formation and arise between waves with different orientations when the sum of two…
Salt polygons and porous media convection
Jana Lasser, Joanna M. Nield, Marcel Ernst +5
From fairy circles to patterned ground and columnar joints, natural patterns spontaneously appear in many complex geophysical settings. Here, we investigate the origins of polygona…
A new resonance mechanism in the Swift--Hohenberg equation with time-periodic forcing
Punit Gandhi, Cédric Beaume, Edgar Knobloch
The generalized Swift--Hohenberg equation with a quadratic-cubic nonlinearity is used to study the persistence and decay of localized patterns in the presence of time-periodic para…
Localized states in periodically forced systems
Punit Gandhi, Edgar Knobloch, Cédric Beaume
The theory of stationary spatially localized patterns in dissipative systems driven by time-independent forcing is well developed. With time-periodic forcing related but time-depen…