151 citations · 1.3k across the 47 of their papers we have counts for
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A reduced model for salt-finger convection in the small diffusivity ratio limit
Jin-Han Xie, Benjamin Miquel, Keith Julien +1
A simple model of nonlinear salt-finger convection in two dimensions is derived and studied. The model is valid in the limit of small solute to heat diffusivity ratio and large den…
Chaos in the Takens-Bogdanov bifurcation with O(2) symmetry
A. M. Rucklidge, E. Knobloch
The Takens-Bogdanov bifurcation is a codimension two bifurcation that provides a key to the presence of complex dynamics in many systems of physical interest. When the system is tr…
Slanted snaking of localized Faraday waves
Bastián Pradenas, Isidora Araya, Marcel G. Clerc +3
We report on an experimental, theoretical and numerical study of slanted snaking of spatially localized parametrically excited waves on the surface of a water-surfactant mixture in…
Dark solitons in the Lugiato-Lefever equation with normal dispersion
Pedro Parra-Rivas, Edgar Knobloch, Damia Gomila +1
The regions of existence and stability of dark solitons in the Lugiato-Lefever model with normal chromatic dispersion are described. These localized states are shown to be organize…
Origin and stability of dark pulse Kerr combs in normal dispersion resonators
Pedro Parra-Rivas, Damia Gomila, Edgar Knobloch +2
We analyze dark pulse Kerr frequency combs in optical resonators with normal group-velocity dispersion using the Lugiato-Lefever model. We show that in the time domain these corres…
Three-dimensional Phase Field Quasicrystals
P. Subramanian, A. J. Archer, E. Knobloch +1
We investigate the formation and stability of icosahedral quasicrytalline structures using a dynamic phase field crystal model. Nonlinear interactions between density waves at two…