58 citations · 271 across the 16 of their papers we have counts for
5 papers · 1 filter
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,…
Density Distribution in Soft Matter Crystals and Quasicrystals
Priya Subramanian, Daniel J. Ratliff, Alastair M. Rucklidge +1
The density distribution in solids is often represented as a sum of Gaussian peaks (or similar functions) centred on lattice sites or via a Fourier sum. Here, we argue that represe…
Spatial localisation beyond steady states in the neighbourhood of the Takens--Bogdanov bifurcation
Haifaa Alrihieli, Alastair Rucklidge, Priya Subramanian
The coincidence of a pitchfork and Hopf bifurcation at a Takens-Bogdanov (TB) bifurcation occurs in many physical systems such as double-diffusive convection, binary convection and…
Exploring Critical Points of Energy Landscapes: From Low-Dimensional Examples to Phase Field Crystal PDEs
Priya Subramanian, Ioannis G. Kevrekidis, Panayotis G. Kevrekidis
In the present work we explore the application of a few root-finding methods to a series of prototypical examples. The methods we consider include: (a) the so-called continuous-tim…
Spatiotemporal chaos and quasipatterns in coupled reaction-diffusion systems
Jennifer K. Castelino, Daniel J. Ratliff, Alastair M. Rucklidge +2
In coupled reaction-diffusion systems, modes with two different length scales can interact to produce a wide variety of spatiotemporal patterns. Three-wave interactions between the…