37 citations · 132 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
Reduced description of exact coherent states in parallel shear flows
Cedric Beaume, Gregory P. Chini, Keith Julien +1
Exact coherent states of a linearly stable, plane parallel shear flow confined between stationary stress-free walls and driven by a sinusoidal body force (a flow first introduced b…
Exact coherent structures in a reduced model of parallel shear flow
Cedric Beaume, Edgar Knobloch, Greg P. Chini +1
A reduced description of shear flows consistent with the Reynolds number scaling of lower-branch exact coherent states in plane Couette flow [J. Wang et al., Phys. Rev. Lett. 98, 2…